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Finding the Fourth Proportional to 76,092.52, 114,138.68 and 30,520.79

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Solution

The fourth proportional to 76,092.52, 114,138.68 and 30,520.79 is: 45,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092.52 : 114,138.68 = 30,520.79 : x
  2. Step 2: Convert to fraction form
    76,092.52/114,138.68 = 30,520.79/x
  3. Step 3: Cross multiply
    76,092.52x = 114,138.68 × 30,520.79
  4. Step 4: Simplify right side
    76,092.52x = 3,483,602,473.72
  5. Step 5: Solve for x
    x = 3,483,602,473.72/76,092.52
  6. Step 6: Final answer
    x = 45,781.15

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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.