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Finding the Fourth Proportional to 138,482.20, 191,105.52 and 74,819.98

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Solution

The fourth proportional to 138,482.20, 191,105.52 and 74,819.98 is: 103,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,482.20 : 191,105.52 = 74,819.98 : x
  2. Step 2: Convert to fraction form
    138,482.20/191,105.52 = 74,819.98/x
  3. Step 3: Cross multiply
    138,482.20x = 191,105.52 × 74,819.98
  4. Step 4: Simplify right side
    138,482.20x = 14,298,511,184.29
  5. Step 5: Solve for x
    x = 14,298,511,184.29/138,482.20
  6. Step 6: Final answer
    x = 103,251.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.