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Finding the Fourth Proportional to 102,809.76, 154,437.20 and 87,046.90

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Solution

The fourth proportional to 102,809.76, 154,437.20 and 87,046.90 is: 130,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.76 : 154,437.20 = 87,046.90 : x
  2. Step 2: Convert to fraction form
    102,809.76/154,437.20 = 87,046.90/x
  3. Step 3: Cross multiply
    102,809.76x = 154,437.20 × 87,046.90
  4. Step 4: Simplify right side
    102,809.76x = 13,443,279,504.68
  5. Step 5: Solve for x
    x = 13,443,279,504.68/102,809.76
  6. Step 6: Final answer
    x = 130,758.79

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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.