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Finding the Fourth Proportional to 100,671.22, 138,930.15 and 57,657.52

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Solution

The fourth proportional to 100,671.22, 138,930.15 and 57,657.52 is: 79,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,671.22 : 138,930.15 = 57,657.52 : x
  2. Step 2: Convert to fraction form
    100,671.22/138,930.15 = 57,657.52/x
  3. Step 3: Cross multiply
    100,671.22x = 138,930.15 × 57,657.52
  4. Step 4: Simplify right side
    100,671.22x = 8,010,367,902.23
  5. Step 5: Solve for x
    x = 8,010,367,902.23/100,671.22
  6. Step 6: Final answer
    x = 79,569.59

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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.