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Finding the Fourth Proportional to 261,400.62, 392,069.76 and 71,880.24

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Solution

The fourth proportional to 261,400.62, 392,069.76 and 71,880.24 is: 107,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,400.62 : 392,069.76 = 71,880.24 : x
  2. Step 2: Convert to fraction form
    261,400.62/392,069.76 = 71,880.24/x
  3. Step 3: Cross multiply
    261,400.62x = 392,069.76 × 71,880.24
  4. Step 4: Simplify right side
    261,400.62x = 28,182,068,445.54
  5. Step 5: Solve for x
    x = 28,182,068,445.54/261,400.62
  6. Step 6: Final answer
    x = 107,811.79

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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.