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Finding the Fourth Proportional to 78,387.61, 117,600.95 and 22,983.61

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Solution

The fourth proportional to 78,387.61, 117,600.95 and 22,983.61 is: 34,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,387.61 : 117,600.95 = 22,983.61 : x
  2. Step 2: Convert to fraction form
    78,387.61/117,600.95 = 22,983.61/x
  3. Step 3: Cross multiply
    78,387.61x = 117,600.95 × 22,983.61
  4. Step 4: Simplify right side
    78,387.61x = 2,702,894,225.11
  5. Step 5: Solve for x
    x = 2,702,894,225.11/78,387.61
  6. Step 6: Final answer
    x = 34,481.14

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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.