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Finding the Fourth Proportional to 118,971.92, 178,219.95 and 71,560.84

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Solution

The fourth proportional to 118,971.92, 178,219.95 and 71,560.84 is: 107,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.92 : 178,219.95 = 71,560.84 : x
  2. Step 2: Convert to fraction form
    118,971.92/178,219.95 = 71,560.84/x
  3. Step 3: Cross multiply
    118,971.92x = 178,219.95 × 71,560.84
  4. Step 4: Simplify right side
    118,971.92x = 12,753,569,326.76
  5. Step 5: Solve for x
    x = 12,753,569,326.76/118,971.92
  6. Step 6: Final answer
    x = 107,198.15

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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.