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Finding the Fourth Proportional to 138,853.44, 191,617.92 and 75,191.76

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Solution

The fourth proportional to 138,853.44, 191,617.92 and 75,191.76 is: 103,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.44 : 191,617.92 = 75,191.76 : x
  2. Step 2: Convert to fraction form
    138,853.44/191,617.92 = 75,191.76/x
  3. Step 3: Cross multiply
    138,853.44x = 191,617.92 × 75,191.76
  4. Step 4: Simplify right side
    138,853.44x = 14,408,088,652.34
  5. Step 5: Solve for x
    x = 14,408,088,652.34/138,853.44
  6. Step 6: Final answer
    x = 103,764.72

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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.