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Finding the Fourth Proportional to 111,742.68, 167,389.02 and 51,686.52

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Solution

The fourth proportional to 111,742.68, 167,389.02 and 51,686.52 is: 77,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,742.68 : 167,389.02 = 51,686.52 : x
  2. Step 2: Convert to fraction form
    111,742.68/167,389.02 = 51,686.52/x
  3. Step 3: Cross multiply
    111,742.68x = 167,389.02 × 51,686.52
  4. Step 4: Simplify right side
    111,742.68x = 8,651,755,930.01
  5. Step 5: Solve for x
    x = 8,651,755,930.01/111,742.68
  6. Step 6: Final answer
    x = 77,425.71

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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.