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Finding the Fourth Proportional to 51,439, 77,162.82 and 14,503

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Solution

The fourth proportional to 51,439, 77,162.82 and 14,503 is: 21,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,439 : 77,162.82 = 14,503 : x
  2. Step 2: Convert to fraction form
    51,439/77,162.82 = 14,503/x
  3. Step 3: Cross multiply
    51,439x = 77,162.82 × 14,503
  4. Step 4: Simplify right side
    51,439x = 1,119,092,378.46
  5. Step 5: Solve for x
    x = 1,119,092,378.46/51,439
  6. Step 6: Final answer
    x = 21,755.72

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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.