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Finding the Fourth Proportional to 55,147.52, 82,686.72 and 36,407.68

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Solution

The fourth proportional to 55,147.52, 82,686.72 and 36,407.68 is: 54,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,147.52 : 82,686.72 = 36,407.68 : x
  2. Step 2: Convert to fraction form
    55,147.52/82,686.72 = 36,407.68/x
  3. Step 3: Cross multiply
    55,147.52x = 82,686.72 × 36,407.68
  4. Step 4: Simplify right side
    55,147.52x = 3,010,431,642.01
  5. Step 5: Solve for x
    x = 3,010,431,642.01/55,147.52
  6. Step 6: Final answer
    x = 54,588.70

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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.