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Finding the Fourth Proportional to 121,657.52, 182,439.84 and 58,460

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Solution

The fourth proportional to 121,657.52, 182,439.84 and 58,460 is: 87,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,657.52 : 182,439.84 = 58,460 : x
  2. Step 2: Convert to fraction form
    121,657.52/182,439.84 = 58,460/x
  3. Step 3: Cross multiply
    121,657.52x = 182,439.84 × 58,460
  4. Step 4: Simplify right side
    121,657.52x = 10,665,433,046.40
  5. Step 5: Solve for x
    x = 10,665,433,046.40/121,657.52
  6. Step 6: Final answer
    x = 87,667.68

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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.