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Finding the Fourth Proportional to 101,253.44, 151,732.48 and 71,655.20

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Solution

The fourth proportional to 101,253.44, 151,732.48 and 71,655.20 is: 107,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,253.44 : 151,732.48 = 71,655.20 : x
  2. Step 2: Convert to fraction form
    101,253.44/151,732.48 = 71,655.20/x
  3. Step 3: Cross multiply
    101,253.44x = 151,732.48 × 71,655.20
  4. Step 4: Simplify right side
    101,253.44x = 10,872,421,200.90
  5. Step 5: Solve for x
    x = 10,872,421,200.90/101,253.44
  6. Step 6: Final answer
    x = 107,378.29

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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.