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Finding the Fourth Proportional to 75,308.70, 112,956.93 and 25,387.74

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Solution

The fourth proportional to 75,308.70, 112,956.93 and 25,387.74 is: 38,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.70 : 112,956.93 = 25,387.74 : x
  2. Step 2: Convert to fraction form
    75,308.70/112,956.93 = 25,387.74/x
  3. Step 3: Cross multiply
    75,308.70x = 112,956.93 × 25,387.74
  4. Step 4: Simplify right side
    75,308.70x = 2,867,721,170.04
  5. Step 5: Solve for x
    x = 2,867,721,170.04/75,308.70
  6. Step 6: Final answer
    x = 38,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.