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Finding the Fourth Proportional to 75,624.80, 113,480.40 and 28,911.20

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Solution

The fourth proportional to 75,624.80, 113,480.40 and 28,911.20 is: 43,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624.80 : 113,480.40 = 28,911.20 : x
  2. Step 2: Convert to fraction form
    75,624.80/113,480.40 = 28,911.20/x
  3. Step 3: Cross multiply
    75,624.80x = 113,480.40 × 28,911.20
  4. Step 4: Simplify right side
    75,624.80x = 3,280,854,540.48
  5. Step 5: Solve for x
    x = 3,280,854,540.48/75,624.80
  6. Step 6: Final answer
    x = 43,383.32

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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.