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Finding the Fourth Proportional to 113,819.40, 170,729.10 and 54,770.40

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Solution

The fourth proportional to 113,819.40, 170,729.10 and 54,770.40 is: 82,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,819.40 : 170,729.10 = 54,770.40 : x
  2. Step 2: Convert to fraction form
    113,819.40/170,729.10 = 54,770.40/x
  3. Step 3: Cross multiply
    113,819.40x = 170,729.10 × 54,770.40
  4. Step 4: Simplify right side
    113,819.40x = 9,350,901,098.64
  5. Step 5: Solve for x
    x = 9,350,901,098.64/113,819.40
  6. Step 6: Final answer
    x = 82,155.60

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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.