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Finding the Fourth Proportional to 137,561.61, 189,754.42 and 86,493.42

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Solution

The fourth proportional to 137,561.61, 189,754.42 and 86,493.42 is: 119,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.61 : 189,754.42 = 86,493.42 : x
  2. Step 2: Convert to fraction form
    137,561.61/189,754.42 = 86,493.42/x
  3. Step 3: Cross multiply
    137,561.61x = 189,754.42 × 86,493.42
  4. Step 4: Simplify right side
    137,561.61x = 16,412,508,745.92
  5. Step 5: Solve for x
    x = 16,412,508,745.92/137,561.61
  6. Step 6: Final answer
    x = 119,310.24

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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.