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Finding the Fourth Proportional to 138,941.28, 208,261.28 and 67,782.88

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Solution

The fourth proportional to 138,941.28, 208,261.28 and 67,782.88 is: 101,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941.28 : 208,261.28 = 67,782.88 : x
  2. Step 2: Convert to fraction form
    138,941.28/208,261.28 = 67,782.88/x
  3. Step 3: Cross multiply
    138,941.28x = 208,261.28 × 67,782.88
  4. Step 4: Simplify right side
    138,941.28x = 14,116,549,350.89
  5. Step 5: Solve for x
    x = 14,116,549,350.89/138,941.28
  6. Step 6: Final answer
    x = 101,600.83

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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.