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Finding the Fourth Proportional to 97,641.29, 134,736.59 and 56,812.97

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Solution

The fourth proportional to 97,641.29, 134,736.59 and 56,812.97 is: 78,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641.29 : 134,736.59 = 56,812.97 : x
  2. Step 2: Convert to fraction form
    97,641.29/134,736.59 = 56,812.97/x
  3. Step 3: Cross multiply
    97,641.29x = 134,736.59 × 56,812.97
  4. Step 4: Simplify right side
    97,641.29x = 7,654,785,171.89
  5. Step 5: Solve for x
    x = 7,654,785,171.89/97,641.29
  6. Step 6: Final answer
    x = 78,397.01

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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.