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Finding the Fourth Proportional to 51,613, 77,432.51 and 14,677

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Solution

The fourth proportional to 51,613, 77,432.51 and 14,677 is: 22,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,613 : 77,432.51 = 14,677 : x
  2. Step 2: Convert to fraction form
    51,613/77,432.51 = 14,677/x
  3. Step 3: Cross multiply
    51,613x = 77,432.51 × 14,677
  4. Step 4: Simplify right side
    51,613x = 1,136,476,949.27
  5. Step 5: Solve for x
    x = 1,136,476,949.27/51,613
  6. Step 6: Final answer
    x = 22,019.20

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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.