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Finding the Fourth Proportional to 135,342.84, 202,780.92 and 89,722.56

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Solution

The fourth proportional to 135,342.84, 202,780.92 and 89,722.56 is: 134,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,342.84 : 202,780.92 = 89,722.56 : x
  2. Step 2: Convert to fraction form
    135,342.84/202,780.92 = 89,722.56/x
  3. Step 3: Cross multiply
    135,342.84x = 202,780.92 × 89,722.56
  4. Step 4: Simplify right side
    135,342.84x = 18,194,023,261.56
  5. Step 5: Solve for x
    x = 18,194,023,261.56/135,342.84
  6. Step 6: Final answer
    x = 134,429.15

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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.