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Finding the Fourth Proportional to 51,508.76, 77,614.13 and 42,353.87

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Solution

The fourth proportional to 51,508.76, 77,614.13 and 42,353.87 is: 63,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.76 : 77,614.13 = 42,353.87 : x
  2. Step 2: Convert to fraction form
    51,508.76/77,614.13 = 42,353.87/x
  3. Step 3: Cross multiply
    51,508.76x = 77,614.13 × 42,353.87
  4. Step 4: Simplify right side
    51,508.76x = 3,287,258,490.00
  5. Step 5: Solve for x
    x = 3,287,258,490.00/51,508.76
  6. Step 6: Final answer
    x = 63,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.