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Finding the Fourth Proportional to 123,986.93, 185,800.90 and 85,478.91

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Solution

The fourth proportional to 123,986.93, 185,800.90 and 85,478.91 is: 128,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,986.93 : 185,800.90 = 85,478.91 : x
  2. Step 2: Convert to fraction form
    123,986.93/185,800.90 = 85,478.91/x
  3. Step 3: Cross multiply
    123,986.93x = 185,800.90 × 85,478.91
  4. Step 4: Simplify right side
    123,986.93x = 15,882,057,651.77
  5. Step 5: Solve for x
    x = 15,882,057,651.77/123,986.93
  6. Step 6: Final answer
    x = 128,094.61

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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.