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Finding the Fourth Proportional to 123,687.61, 185,406.77 and 48,778.81

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Solution

The fourth proportional to 123,687.61, 185,406.77 and 48,778.81 is: 73,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,687.61 : 185,406.77 = 48,778.81 : x
  2. Step 2: Convert to fraction form
    123,687.61/185,406.77 = 48,778.81/x
  3. Step 3: Cross multiply
    123,687.61x = 185,406.77 × 48,778.81
  4. Step 4: Simplify right side
    123,687.61x = 9,043,921,264.97
  5. Step 5: Solve for x
    x = 9,043,921,264.97/123,687.61
  6. Step 6: Final answer
    x = 73,119.06

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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.