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Finding the Fourth Proportional to 111,465.70, 167,100.13 and 85,287.31

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Solution

The fourth proportional to 111,465.70, 167,100.13 and 85,287.31 is: 127,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,465.70 : 167,100.13 = 85,287.31 : x
  2. Step 2: Convert to fraction form
    111,465.70/167,100.13 = 85,287.31/x
  3. Step 3: Cross multiply
    111,465.70x = 167,100.13 × 85,287.31
  4. Step 4: Simplify right side
    111,465.70x = 14,251,521,217.15
  5. Step 5: Solve for x
    x = 14,251,521,217.15/111,465.70
  6. Step 6: Final answer
    x = 127,855.66

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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.