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Finding the Fourth Proportional to 261,613.50, 392,423.94 and 74,625

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Solution

The fourth proportional to 261,613.50, 392,423.94 and 74,625 is: 111,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,613.50 : 392,423.94 = 74,625 : x
  2. Step 2: Convert to fraction form
    261,613.50/392,423.94 = 74,625/x
  3. Step 3: Cross multiply
    261,613.50x = 392,423.94 × 74,625
  4. Step 4: Simplify right side
    261,613.50x = 29,284,636,522.50
  5. Step 5: Solve for x
    x = 29,284,636,522.50/261,613.50
  6. Step 6: Final answer
    x = 111,938.55

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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.