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Finding the Fourth Proportional to 57,276.95, 85,978.28 and 45,506.39

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Solution

The fourth proportional to 57,276.95, 85,978.28 and 45,506.39 is: 68,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,276.95 : 85,978.28 = 45,506.39 : x
  2. Step 2: Convert to fraction form
    57,276.95/85,978.28 = 45,506.39/x
  3. Step 3: Cross multiply
    57,276.95x = 85,978.28 × 45,506.39
  4. Step 4: Simplify right side
    57,276.95x = 3,912,560,711.32
  5. Step 5: Solve for x
    x = 3,912,560,711.32/57,276.95
  6. Step 6: Final answer
    x = 68,309.52

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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.