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Finding the Fourth Proportional to 100,922.96, 138,265.12 and 97,139.48

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Solution

The fourth proportional to 100,922.96, 138,265.12 and 97,139.48 is: 133,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,922.96 : 138,265.12 = 97,139.48 : x
  2. Step 2: Convert to fraction form
    100,922.96/138,265.12 = 97,139.48/x
  3. Step 3: Cross multiply
    100,922.96x = 138,265.12 × 97,139.48
  4. Step 4: Simplify right side
    100,922.96x = 13,431,001,858.94
  5. Step 5: Solve for x
    x = 13,431,001,858.94/100,922.96
  6. Step 6: Final answer
    x = 133,081.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.