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Finding the Fourth Proportional to 123,989.24, 185,836.22 and 86,345.49

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Solution

The fourth proportional to 123,989.24, 185,836.22 and 86,345.49 is: 129,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,989.24 : 185,836.22 = 86,345.49 : x
  2. Step 2: Convert to fraction form
    123,989.24/185,836.22 = 86,345.49/x
  3. Step 3: Cross multiply
    123,989.24x = 185,836.22 × 86,345.49
  4. Step 4: Simplify right side
    123,989.24x = 16,046,119,043.92
  5. Step 5: Solve for x
    x = 16,046,119,043.92/123,989.24
  6. Step 6: Final answer
    x = 129,415.42

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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.