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Finding the Fourth Proportional to 137,706.75, 206,564.31 and 42,940.35

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Solution

The fourth proportional to 137,706.75, 206,564.31 and 42,940.35 is: 64,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.75 : 206,564.31 = 42,940.35 : x
  2. Step 2: Convert to fraction form
    137,706.75/206,564.31 = 42,940.35/x
  3. Step 3: Cross multiply
    137,706.75x = 206,564.31 × 42,940.35
  4. Step 4: Simplify right side
    137,706.75x = 8,869,943,768.91
  5. Step 5: Solve for x
    x = 8,869,943,768.91/137,706.75
  6. Step 6: Final answer
    x = 64,411.83

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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.