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Finding the Fourth Proportional to 57,281.93, 85,891.39 and 30,659.16

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Solution

The fourth proportional to 57,281.93, 85,891.39 and 30,659.16 is: 45,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,281.93 : 85,891.39 = 30,659.16 : x
  2. Step 2: Convert to fraction form
    57,281.93/85,891.39 = 30,659.16/x
  3. Step 3: Cross multiply
    57,281.93x = 85,891.39 × 30,659.16
  4. Step 4: Simplify right side
    57,281.93x = 2,633,357,630.94
  5. Step 5: Solve for x
    x = 2,633,357,630.94/57,281.93
  6. Step 6: Final answer
    x = 45,971.87

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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.