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Finding the Fourth Proportional to 137,612.79, 189,729.84 and 89,129.07

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Solution

The fourth proportional to 137,612.79, 189,729.84 and 89,129.07 is: 122,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612.79 : 189,729.84 = 89,129.07 : x
  2. Step 2: Convert to fraction form
    137,612.79/189,729.84 = 89,129.07/x
  3. Step 3: Cross multiply
    137,612.79x = 189,729.84 × 89,129.07
  4. Step 4: Simplify right side
    137,612.79x = 16,910,443,744.80
  5. Step 5: Solve for x
    x = 16,910,443,744.80/137,612.79
  6. Step 6: Final answer
    x = 122,884.24

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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.