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Finding the Fourth Proportional to 261,538.92, 392,322.42 and 84,032.28

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Solution

The fourth proportional to 261,538.92, 392,322.42 and 84,032.28 is: 126,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,538.92 : 392,322.42 = 84,032.28 : x
  2. Step 2: Convert to fraction form
    261,538.92/392,322.42 = 84,032.28/x
  3. Step 3: Cross multiply
    261,538.92x = 392,322.42 × 84,032.28
  4. Step 4: Simplify right side
    261,538.92x = 32,967,747,447.72
  5. Step 5: Solve for x
    x = 32,967,747,447.72/261,538.92
  6. Step 6: Final answer
    x = 126,052.93

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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.