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Finding the Fourth Proportional to 99,314.70, 148,972.05 and 32,765.10

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Solution

The fourth proportional to 99,314.70, 148,972.05 and 32,765.10 is: 49,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,314.70 : 148,972.05 = 32,765.10 : x
  2. Step 2: Convert to fraction form
    99,314.70/148,972.05 = 32,765.10/x
  3. Step 3: Cross multiply
    99,314.70x = 148,972.05 × 32,765.10
  4. Step 4: Simplify right side
    99,314.70x = 4,881,084,115.46
  5. Step 5: Solve for x
    x = 4,881,084,115.46/99,314.70
  6. Step 6: Final answer
    x = 49,147.65

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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.