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Finding the Fourth Proportional to 100,686.20, 138,943.40 and 55,363.87

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Solution

The fourth proportional to 100,686.20, 138,943.40 and 55,363.87 is: 76,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.20 : 138,943.40 = 55,363.87 : x
  2. Step 2: Convert to fraction form
    100,686.20/138,943.40 = 55,363.87/x
  3. Step 3: Cross multiply
    100,686.20x = 138,943.40 × 55,363.87
  4. Step 4: Simplify right side
    100,686.20x = 7,692,444,334.96
  5. Step 5: Solve for x
    x = 7,692,444,334.96/100,686.20
  6. Step 6: Final answer
    x = 76,400.19

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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.