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Finding the Fourth Proportional to 117,876.20, 176,411.10 and 71,162.60

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Solution

The fourth proportional to 117,876.20, 176,411.10 and 71,162.60 is: 106,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,876.20 : 176,411.10 = 71,162.60 : x
  2. Step 2: Convert to fraction form
    117,876.20/176,411.10 = 71,162.60/x
  3. Step 3: Cross multiply
    117,876.20x = 176,411.10 × 71,162.60
  4. Step 4: Simplify right side
    117,876.20x = 12,553,872,544.86
  5. Step 5: Solve for x
    x = 12,553,872,544.86/117,876.20
  6. Step 6: Final answer
    x = 106,500.49

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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.