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Finding the Fourth Proportional to 73,214.85, 109,780.65 and 28,817.54

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Solution

The fourth proportional to 73,214.85, 109,780.65 and 28,817.54 is: 43,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.85 : 109,780.65 = 28,817.54 : x
  2. Step 2: Convert to fraction form
    73,214.85/109,780.65 = 28,817.54/x
  3. Step 3: Cross multiply
    73,214.85x = 109,780.65 × 28,817.54
  4. Step 4: Simplify right side
    73,214.85x = 3,163,607,723.70
  5. Step 5: Solve for x
    x = 3,163,607,723.70/73,214.85
  6. Step 6: Final answer
    x = 43,209.92

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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.