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Finding the Fourth Proportional to 67,971.13, 101,978.36 and 28,517.65

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Solution

The fourth proportional to 67,971.13, 101,978.36 and 28,517.65 is: 42,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971.13 : 101,978.36 = 28,517.65 : x
  2. Step 2: Convert to fraction form
    67,971.13/101,978.36 = 28,517.65/x
  3. Step 3: Cross multiply
    67,971.13x = 101,978.36 × 28,517.65
  4. Step 4: Simplify right side
    67,971.13x = 2,908,183,178.05
  5. Step 5: Solve for x
    x = 2,908,183,178.05/67,971.13
  6. Step 6: Final answer
    x = 42,785.56

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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.