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Finding the Fourth Proportional to 261,737.64, 392,669.10 and 84,261.24

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Solution

The fourth proportional to 261,737.64, 392,669.10 and 84,261.24 is: 126,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,737.64 : 392,669.10 = 84,261.24 : x
  2. Step 2: Convert to fraction form
    261,737.64/392,669.10 = 84,261.24/x
  3. Step 3: Cross multiply
    261,737.64x = 392,669.10 × 84,261.24
  4. Step 4: Simplify right side
    261,737.64x = 33,086,785,275.68
  5. Step 5: Solve for x
    x = 33,086,785,275.68/261,737.64
  6. Step 6: Final answer
    x = 126,412.03

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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.