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Finding the Fourth Proportional to 261,884.50, 392,849.38 and 72,344.80

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Solution

The fourth proportional to 261,884.50, 392,849.38 and 72,344.80 is: 108,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,884.50 : 392,849.38 = 72,344.80 : x
  2. Step 2: Convert to fraction form
    261,884.50/392,849.38 = 72,344.80/x
  3. Step 3: Cross multiply
    261,884.50x = 392,849.38 × 72,344.80
  4. Step 4: Simplify right side
    261,884.50x = 28,420,609,826.22
  5. Step 5: Solve for x
    x = 28,420,609,826.22/261,884.50
  6. Step 6: Final answer
    x = 108,523.45

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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.