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Finding the Fourth Proportional to 51,369.67, 77,023.76 and 21,347.71

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Solution

The fourth proportional to 51,369.67, 77,023.76 and 21,347.71 is: 32,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,369.67 : 77,023.76 = 21,347.71 : x
  2. Step 2: Convert to fraction form
    51,369.67/77,023.76 = 21,347.71/x
  3. Step 3: Cross multiply
    51,369.67x = 77,023.76 × 21,347.71
  4. Step 4: Simplify right side
    51,369.67x = 1,644,280,399.73
  5. Step 5: Solve for x
    x = 1,644,280,399.73/51,369.67
  6. Step 6: Final answer
    x = 32,008.78

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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.