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Finding the Fourth Proportional to 100,819.60, 151,229.40 and 70,752.40

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Solution

The fourth proportional to 100,819.60, 151,229.40 and 70,752.40 is: 106,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.60 : 151,229.40 = 70,752.40 : x
  2. Step 2: Convert to fraction form
    100,819.60/151,229.40 = 70,752.40/x
  3. Step 3: Cross multiply
    100,819.60x = 151,229.40 × 70,752.40
  4. Step 4: Simplify right side
    100,819.60x = 10,699,843,000.56
  5. Step 5: Solve for x
    x = 10,699,843,000.56/100,819.60
  6. Step 6: Final answer
    x = 106,128.60

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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.