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Finding the Fourth Proportional to 51,432, 77,120.20 and 27,752.28

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Solution

The fourth proportional to 51,432, 77,120.20 and 27,752.28 is: 41,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 77,120.20 = 27,752.28 : x
  2. Step 2: Convert to fraction form
    51,432/77,120.20 = 27,752.28/x
  3. Step 3: Cross multiply
    51,432x = 77,120.20 × 27,752.28
  4. Step 4: Simplify right side
    51,432x = 2,140,261,384.06
  5. Step 5: Solve for x
    x = 2,140,261,384.06/51,432
  6. Step 6: Final answer
    x = 41,613.42

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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.