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Finding the Fourth Proportional to 51,468, 71,025.15 and 28,807.03

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Solution

The fourth proportional to 51,468, 71,025.15 and 28,807.03 is: 39,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468 : 71,025.15 = 28,807.03 : x
  2. Step 2: Convert to fraction form
    51,468/71,025.15 = 28,807.03/x
  3. Step 3: Cross multiply
    51,468x = 71,025.15 × 28,807.03
  4. Step 4: Simplify right side
    51,468x = 2,046,023,626.80
  5. Step 5: Solve for x
    x = 2,046,023,626.80/51,468
  6. Step 6: Final answer
    x = 39,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.