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Finding the Fourth Proportional to 206,688,203.70, 310,032,305.55 and 137,813,450.10

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Solution

The fourth proportional to 206,688,203.70, 310,032,305.55 and 137,813,450.10 is: 206,720,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688,203.70 : 310,032,305.55 = 137,813,450.10 : x
  2. Step 2: Convert to fraction form
    206,688,203.70/310,032,305.55 = 137,813,450.10/x
  3. Step 3: Cross multiply
    206,688,203.70x = 310,032,305.55 × 137,813,450.10
  4. Step 4: Simplify right side
    206,688,203.70x = 42,726,621,670,302,880
  5. Step 5: Solve for x
    x = 42,726,621,670,302,880/206,688,203.70
  6. Step 6: Final answer
    x = 206,720,175.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.