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Finding the Fourth Proportional to 138,082.56, 190,543.20 and 77,641.92

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Solution

The fourth proportional to 138,082.56, 190,543.20 and 77,641.92 is: 107,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.56 : 190,543.20 = 77,641.92 : x
  2. Step 2: Convert to fraction form
    138,082.56/190,543.20 = 77,641.92/x
  3. Step 3: Cross multiply
    138,082.56x = 190,543.20 × 77,641.92
  4. Step 4: Simplify right side
    138,082.56x = 14,794,139,890.94
  5. Step 5: Solve for x
    x = 14,794,139,890.94/138,082.56
  6. Step 6: Final answer
    x = 107,139.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.