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Finding the Fourth Proportional to 91,422, 126,158.92 and 51,139.49

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Solution

The fourth proportional to 91,422, 126,158.92 and 51,139.49 is: 70,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,422 : 126,158.92 = 51,139.49 : x
  2. Step 2: Convert to fraction form
    91,422/126,158.92 = 51,139.49/x
  3. Step 3: Cross multiply
    91,422x = 126,158.92 × 51,139.49
  4. Step 4: Simplify right side
    91,422x = 6,451,702,069.11
  5. Step 5: Solve for x
    x = 6,451,702,069.11/91,422
  6. Step 6: Final answer
    x = 70,570.56

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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.