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Finding the Fourth Proportional to 78,822.60, 118,233.90 and 68,981.10

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Solution

The fourth proportional to 78,822.60, 118,233.90 and 68,981.10 is: 103,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822.60 : 118,233.90 = 68,981.10 : x
  2. Step 2: Convert to fraction form
    78,822.60/118,233.90 = 68,981.10/x
  3. Step 3: Cross multiply
    78,822.60x = 118,233.90 × 68,981.10
  4. Step 4: Simplify right side
    78,822.60x = 8,155,904,479.29
  5. Step 5: Solve for x
    x = 8,155,904,479.29/78,822.60
  6. Step 6: Final answer
    x = 103,471.65

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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.