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Finding the Fourth Proportional to 67,976.20, 101,978.70 and 20,587.40

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Solution

The fourth proportional to 67,976.20, 101,978.70 and 20,587.40 is: 30,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,976.20 : 101,978.70 = 20,587.40 : x
  2. Step 2: Convert to fraction form
    67,976.20/101,978.70 = 20,587.40/x
  3. Step 3: Cross multiply
    67,976.20x = 101,978.70 × 20,587.40
  4. Step 4: Simplify right side
    67,976.20x = 2,099,476,288.38
  5. Step 5: Solve for x
    x = 2,099,476,288.38/67,976.20
  6. Step 6: Final answer
    x = 30,885.46

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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.