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Finding the Fourth Proportional to 100,801.60, 151,202.40 and 82,139.20

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Solution

The fourth proportional to 100,801.60, 151,202.40 and 82,139.20 is: 123,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,801.60 : 151,202.40 = 82,139.20 : x
  2. Step 2: Convert to fraction form
    100,801.60/151,202.40 = 82,139.20/x
  3. Step 3: Cross multiply
    100,801.60x = 151,202.40 × 82,139.20
  4. Step 4: Simplify right side
    100,801.60x = 12,419,644,174.08
  5. Step 5: Solve for x
    x = 12,419,644,174.08/100,801.60
  6. Step 6: Final answer
    x = 123,208.80

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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.