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Finding the Fourth Proportional to 81,134.58, 121,532.10 and 65,253.78

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Solution

The fourth proportional to 81,134.58, 121,532.10 and 65,253.78 is: 97,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,134.58 : 121,532.10 = 65,253.78 : x
  2. Step 2: Convert to fraction form
    81,134.58/121,532.10 = 65,253.78/x
  3. Step 3: Cross multiply
    81,134.58x = 121,532.10 × 65,253.78
  4. Step 4: Simplify right side
    81,134.58x = 7,930,428,916.34
  5. Step 5: Solve for x
    x = 7,930,428,916.34/81,134.58
  6. Step 6: Final answer
    x = 97,744.13

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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.