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Finding the Fourth Proportional to 131,688.57, 181,728.90 and 71,257.89

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Solution

The fourth proportional to 131,688.57, 181,728.90 and 71,257.89 is: 98,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,688.57 : 181,728.90 = 71,257.89 : x
  2. Step 2: Convert to fraction form
    131,688.57/181,728.90 = 71,257.89/x
  3. Step 3: Cross multiply
    131,688.57x = 181,728.90 × 71,257.89
  4. Step 4: Simplify right side
    131,688.57x = 12,949,617,966.02
  5. Step 5: Solve for x
    x = 12,949,617,966.02/131,688.57
  6. Step 6: Final answer
    x = 98,335.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.