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Finding the Fourth Proportional to 67,762.20, 101,507.22 and 38,135.64

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Solution

The fourth proportional to 67,762.20, 101,507.22 and 38,135.64 is: 57,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,762.20 : 101,507.22 = 38,135.64 : x
  2. Step 2: Convert to fraction form
    67,762.20/101,507.22 = 38,135.64/x
  3. Step 3: Cross multiply
    67,762.20x = 101,507.22 × 38,135.64
  4. Step 4: Simplify right side
    67,762.20x = 3,871,042,799.32
  5. Step 5: Solve for x
    x = 3,871,042,799.32/67,762.20
  6. Step 6: Final answer
    x = 57,126.88

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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.