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Finding the Fourth Proportional to 57,283.46, 85,988.01 and 45,512.87

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Solution

The fourth proportional to 57,283.46, 85,988.01 and 45,512.87 is: 68,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.46 : 85,988.01 = 45,512.87 : x
  2. Step 2: Convert to fraction form
    57,283.46/85,988.01 = 45,512.87/x
  3. Step 3: Cross multiply
    57,283.46x = 85,988.01 × 45,512.87
  4. Step 4: Simplify right side
    57,283.46x = 3,913,560,690.75
  5. Step 5: Solve for x
    x = 3,913,560,690.75/57,283.46
  6. Step 6: Final answer
    x = 68,319.22

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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.