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Finding the Fourth Proportional to 138,657.72, 191,347.68 and 78,241.14

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Solution

The fourth proportional to 138,657.72, 191,347.68 and 78,241.14 is: 107,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,657.72 : 191,347.68 = 78,241.14 : x
  2. Step 2: Convert to fraction form
    138,657.72/191,347.68 = 78,241.14/x
  3. Step 3: Cross multiply
    138,657.72x = 191,347.68 × 78,241.14
  4. Step 4: Simplify right side
    138,657.72x = 14,971,260,619.56
  5. Step 5: Solve for x
    x = 14,971,260,619.56/138,657.72
  6. Step 6: Final answer
    x = 107,972.79

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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.