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Finding the Fourth Proportional to 51,377.68, 77,071.65 and 13,938.37

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Solution

The fourth proportional to 51,377.68, 77,071.65 and 13,938.37 is: 20,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,377.68 : 77,071.65 = 13,938.37 : x
  2. Step 2: Convert to fraction form
    51,377.68/77,071.65 = 13,938.37/x
  3. Step 3: Cross multiply
    51,377.68x = 77,071.65 × 13,938.37
  4. Step 4: Simplify right side
    51,377.68x = 1,074,253,174.21
  5. Step 5: Solve for x
    x = 1,074,253,174.21/51,377.68
  6. Step 6: Final answer
    x = 20,908.95

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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.