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Finding the Fourth Proportional to 100,686.48, 138,943.72 and 55,364.08

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Solution

The fourth proportional to 100,686.48, 138,943.72 and 55,364.08 is: 76,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.48 : 138,943.72 = 55,364.08 : x
  2. Step 2: Convert to fraction form
    100,686.48/138,943.72 = 55,364.08/x
  3. Step 3: Cross multiply
    100,686.48x = 138,943.72 × 55,364.08
  4. Step 4: Simplify right side
    100,686.48x = 7,692,491,229.58
  5. Step 5: Solve for x
    x = 7,692,491,229.58/100,686.48
  6. Step 6: Final answer
    x = 76,400.44

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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.