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Finding the Fourth Proportional to 100,714.77, 138,987.30 and 54,774.84

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Solution

The fourth proportional to 100,714.77, 138,987.30 and 54,774.84 is: 75,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.77 : 138,987.30 = 54,774.84 : x
  2. Step 2: Convert to fraction form
    100,714.77/138,987.30 = 54,774.84/x
  3. Step 3: Cross multiply
    100,714.77x = 138,987.30 × 54,774.84
  4. Step 4: Simplify right side
    100,714.77x = 7,613,007,119.53
  5. Step 5: Solve for x
    x = 7,613,007,119.53/100,714.77
  6. Step 6: Final answer
    x = 75,589.78

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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.