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Finding the Fourth Proportional to 76,419.60, 114,715.80 and 58,966.80

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Solution

The fourth proportional to 76,419.60, 114,715.80 and 58,966.80 is: 88,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.60 : 114,715.80 = 58,966.80 : x
  2. Step 2: Convert to fraction form
    76,419.60/114,715.80 = 58,966.80/x
  3. Step 3: Cross multiply
    76,419.60x = 114,715.80 × 58,966.80
  4. Step 4: Simplify right side
    76,419.60x = 6,764,423,635.44
  5. Step 5: Solve for x
    x = 6,764,423,635.44/76,419.60
  6. Step 6: Final answer
    x = 88,516.87

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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.