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Finding the Fourth Proportional to 100,557.96, 138,655.86 and 82,351.88

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Solution

The fourth proportional to 100,557.96, 138,655.86 and 82,351.88 is: 113,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,557.96 : 138,655.86 = 82,351.88 : x
  2. Step 2: Convert to fraction form
    100,557.96/138,655.86 = 82,351.88/x
  3. Step 3: Cross multiply
    100,557.96x = 138,655.86 × 82,351.88
  4. Step 4: Simplify right side
    100,557.96x = 11,418,570,744.02
  5. Step 5: Solve for x
    x = 11,418,570,744.02/100,557.96
  6. Step 6: Final answer
    x = 113,552.13

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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.