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Finding the Fourth Proportional to 67,876.40, 101,836.12 and 30,468.56

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Solution

The fourth proportional to 67,876.40, 101,836.12 and 30,468.56 is: 45,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876.40 : 101,836.12 = 30,468.56 : x
  2. Step 2: Convert to fraction form
    67,876.40/101,836.12 = 30,468.56/x
  3. Step 3: Cross multiply
    67,876.40x = 101,836.12 × 30,468.56
  4. Step 4: Simplify right side
    67,876.40x = 3,102,799,932.39
  5. Step 5: Solve for x
    x = 3,102,799,932.39/67,876.40
  6. Step 6: Final answer
    x = 45,712.50

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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.