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Finding the Fourth Proportional to 261,451.08, 392,191.29 and 74,448

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Solution

The fourth proportional to 261,451.08, 392,191.29 and 74,448 is: 111,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,451.08 : 392,191.29 = 74,448 : x
  2. Step 2: Convert to fraction form
    261,451.08/392,191.29 = 74,448/x
  3. Step 3: Cross multiply
    261,451.08x = 392,191.29 × 74,448
  4. Step 4: Simplify right side
    261,451.08x = 29,197,857,157.92
  5. Step 5: Solve for x
    x = 29,197,857,157.92/261,451.08
  6. Step 6: Final answer
    x = 111,676.18

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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.