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Finding the Fourth Proportional to 118,891.65, 178,414.76 and 51,489.52

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Solution

The fourth proportional to 118,891.65, 178,414.76 and 51,489.52 is: 77,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,891.65 : 178,414.76 = 51,489.52 : x
  2. Step 2: Convert to fraction form
    118,891.65/178,414.76 = 51,489.52/x
  3. Step 3: Cross multiply
    118,891.65x = 178,414.76 × 51,489.52
  4. Step 4: Simplify right side
    118,891.65x = 9,186,490,353.32
  5. Step 5: Solve for x
    x = 9,186,490,353.32/118,891.65
  6. Step 6: Final answer
    x = 77,267.75

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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.