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Finding the Fourth Proportional to 100,714.67, 138,987.19 and 54,774.73

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Solution

The fourth proportional to 100,714.67, 138,987.19 and 54,774.73 is: 75,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.67 : 138,987.19 = 54,774.73 : x
  2. Step 2: Convert to fraction form
    100,714.67/138,987.19 = 54,774.73/x
  3. Step 3: Cross multiply
    100,714.67x = 138,987.19 × 54,774.73
  4. Step 4: Simplify right side
    100,714.67x = 7,612,985,805.71
  5. Step 5: Solve for x
    x = 7,612,985,805.71/100,714.67
  6. Step 6: Final answer
    x = 75,589.64

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1.5x scale

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.