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Finding the Fourth Proportional to 92,513.52, 138,771 and 30,184.20

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Solution

The fourth proportional to 92,513.52, 138,771 and 30,184.20 is: 45,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,513.52 : 138,771 = 30,184.20 : x
  2. Step 2: Convert to fraction form
    92,513.52/138,771 = 30,184.20/x
  3. Step 3: Cross multiply
    92,513.52x = 138,771 × 30,184.20
  4. Step 4: Simplify right side
    92,513.52x = 4,188,691,618.20
  5. Step 5: Solve for x
    x = 4,188,691,618.20/92,513.52
  6. Step 6: Final answer
    x = 45,276.53

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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.