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Finding the Fourth Proportional to 76,598.52, 114,931.96 and 39,138.88

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Solution

The fourth proportional to 76,598.52, 114,931.96 and 39,138.88 is: 58,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598.52 : 114,931.96 = 39,138.88 : x
  2. Step 2: Convert to fraction form
    76,598.52/114,931.96 = 39,138.88/x
  3. Step 3: Cross multiply
    76,598.52x = 114,931.96 × 39,138.88
  4. Step 4: Simplify right side
    76,598.52x = 4,498,308,190.60
  5. Step 5: Solve for x
    x = 4,498,308,190.60/76,598.52
  6. Step 6: Final answer
    x = 58,725.78

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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.