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Finding the Fourth Proportional to 67,306.86, 100,165.85 and 65,064.50

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Solution

The fourth proportional to 67,306.86, 100,165.85 and 65,064.50 is: 96,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.86 : 100,165.85 = 65,064.50 : x
  2. Step 2: Convert to fraction form
    67,306.86/100,165.85 = 65,064.50/x
  3. Step 3: Cross multiply
    67,306.86x = 100,165.85 × 65,064.50
  4. Step 4: Simplify right side
    67,306.86x = 6,517,241,437.85
  5. Step 5: Solve for x
    x = 6,517,241,437.85/67,306.86
  6. Step 6: Final answer
    x = 96,828.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.