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Finding the Fourth Proportional to 100,688.85, 138,959.46 and 55,374.81

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Solution

The fourth proportional to 100,688.85, 138,959.46 and 55,374.81 is: 76,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,688.85 : 138,959.46 = 55,374.81 : x
  2. Step 2: Convert to fraction form
    100,688.85/138,959.46 = 55,374.81/x
  3. Step 3: Cross multiply
    100,688.85x = 138,959.46 × 55,374.81
  4. Step 4: Simplify right side
    100,688.85x = 7,694,853,695.20
  5. Step 5: Solve for x
    x = 7,694,853,695.20/100,688.85
  6. Step 6: Final answer
    x = 76,422.10

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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.