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Finding the Fourth Proportional to 103,668, 143,079.12 and 78,473.76

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Solution

The fourth proportional to 103,668, 143,079.12 and 78,473.76 is: 108,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 143,079.12 = 78,473.76 : x
  2. Step 2: Convert to fraction form
    103,668/143,079.12 = 78,473.76/x
  3. Step 3: Cross multiply
    103,668x = 143,079.12 × 78,473.76
  4. Step 4: Simplify right side
    103,668x = 11,227,956,523.89
  5. Step 5: Solve for x
    x = 11,227,956,523.89/103,668
  6. Step 6: Final answer
    x = 108,306.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.