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Finding the Fourth Proportional to 103,279.84, 154,899.70 and 28,380.76

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Solution

The fourth proportional to 103,279.84, 154,899.70 and 28,380.76 is: 42,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,279.84 : 154,899.70 = 28,380.76 : x
  2. Step 2: Convert to fraction form
    103,279.84/154,899.70 = 28,380.76/x
  3. Step 3: Cross multiply
    103,279.84x = 154,899.70 × 28,380.76
  4. Step 4: Simplify right side
    103,279.84x = 4,396,171,209.77
  5. Step 5: Solve for x
    x = 4,396,171,209.77/103,279.84
  6. Step 6: Final answer
    x = 42,565.63

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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.