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Finding the Fourth Proportional to 85,330.52, 127,716.92 and 77,145.68

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Solution

The fourth proportional to 85,330.52, 127,716.92 and 77,145.68 is: 115,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,330.52 : 127,716.92 = 77,145.68 : x
  2. Step 2: Convert to fraction form
    85,330.52/127,716.92 = 77,145.68/x
  3. Step 3: Cross multiply
    85,330.52x = 127,716.92 × 77,145.68
  4. Step 4: Simplify right side
    85,330.52x = 9,852,808,640.91
  5. Step 5: Solve for x
    x = 9,852,808,640.91/85,330.52
  6. Step 6: Final answer
    x = 115,466.41

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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.