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Finding the Fourth Proportional to 119,151.50, 178,672.75 and 71,141.90

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Solution

The fourth proportional to 119,151.50, 178,672.75 and 71,141.90 is: 106,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,151.50 : 178,672.75 = 71,141.90 : x
  2. Step 2: Convert to fraction form
    119,151.50/178,672.75 = 71,141.90/x
  3. Step 3: Cross multiply
    119,151.50x = 178,672.75 × 71,141.90
  4. Step 4: Simplify right side
    119,151.50x = 12,711,117,664.15
  5. Step 5: Solve for x
    x = 12,711,117,664.15/119,151.50
  6. Step 6: Final answer
    x = 106,680.30

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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.