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Finding the Fourth Proportional to 85,842.20, 128,471.70 and 75,344.60

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Solution

The fourth proportional to 85,842.20, 128,471.70 and 75,344.60 is: 112,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.20 : 128,471.70 = 75,344.60 : x
  2. Step 2: Convert to fraction form
    85,842.20/128,471.70 = 75,344.60/x
  3. Step 3: Cross multiply
    85,842.20x = 128,471.70 × 75,344.60
  4. Step 4: Simplify right side
    85,842.20x = 9,679,648,847.82
  5. Step 5: Solve for x
    x = 9,679,648,847.82/85,842.20
  6. Step 6: Final answer
    x = 112,760.96

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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.