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Finding the Fourth Proportional to 261,892.12, 392,862.48 and 84,357.40

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Solution

The fourth proportional to 261,892.12, 392,862.48 and 84,357.40 is: 126,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892.12 : 392,862.48 = 84,357.40 : x
  2. Step 2: Convert to fraction form
    261,892.12/392,862.48 = 84,357.40/x
  3. Step 3: Cross multiply
    261,892.12x = 392,862.48 × 84,357.40
  4. Step 4: Simplify right side
    261,892.12x = 33,140,857,370.35
  5. Step 5: Solve for x
    x = 33,140,857,370.35/261,892.12
  6. Step 6: Final answer
    x = 126,543.93

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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.