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Finding the Fourth Proportional to 51,422, 77,139.12 and 18,135.16

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Solution

The fourth proportional to 51,422, 77,139.12 and 18,135.16 is: 27,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,422 : 77,139.12 = 18,135.16 : x
  2. Step 2: Convert to fraction form
    51,422/77,139.12 = 18,135.16/x
  3. Step 3: Cross multiply
    51,422x = 77,139.12 × 18,135.16
  4. Step 4: Simplify right side
    51,422x = 1,398,930,283.46
  5. Step 5: Solve for x
    x = 1,398,930,283.46/51,422
  6. Step 6: Final answer
    x = 27,204.90

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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.