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Finding the Fourth Proportional to 100,617, 138,793.68 and 62,825.64

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Solution

The fourth proportional to 100,617, 138,793.68 and 62,825.64 is: 86,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617 : 138,793.68 = 62,825.64 : x
  2. Step 2: Convert to fraction form
    100,617/138,793.68 = 62,825.64/x
  3. Step 3: Cross multiply
    100,617x = 138,793.68 × 62,825.64
  4. Step 4: Simplify right side
    100,617x = 8,719,801,773.96
  5. Step 5: Solve for x
    x = 8,719,801,773.96/100,617
  6. Step 6: Final answer
    x = 86,663.31

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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.