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Finding the Fourth Proportional to 137,639.80, 206,411.10 and 48,896.20

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Solution

The fourth proportional to 137,639.80, 206,411.10 and 48,896.20 is: 73,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,639.80 : 206,411.10 = 48,896.20 : x
  2. Step 2: Convert to fraction form
    137,639.80/206,411.10 = 48,896.20/x
  3. Step 3: Cross multiply
    137,639.80x = 206,411.10 × 48,896.20
  4. Step 4: Simplify right side
    137,639.80x = 10,092,718,427.82
  5. Step 5: Solve for x
    x = 10,092,718,427.82/137,639.80
  6. Step 6: Final answer
    x = 73,327.03

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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.