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Finding the Fourth Proportional to 75,630.44, 113,445.66 and 20,225

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Solution

The fourth proportional to 75,630.44, 113,445.66 and 20,225 is: 30,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,630.44 : 113,445.66 = 20,225 : x
  2. Step 2: Convert to fraction form
    75,630.44/113,445.66 = 20,225/x
  3. Step 3: Cross multiply
    75,630.44x = 113,445.66 × 20,225
  4. Step 4: Simplify right side
    75,630.44x = 2,294,438,473.50
  5. Step 5: Solve for x
    x = 2,294,438,473.50/75,630.44
  6. Step 6: Final answer
    x = 30,337.50

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1.5x scale

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.