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Finding the Fourth Proportional to 91,550, 126,340.96 and 51,806

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Solution

The fourth proportional to 91,550, 126,340.96 and 51,806 is: 71,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,550 : 126,340.96 = 51,806 : x
  2. Step 2: Convert to fraction form
    91,550/126,340.96 = 51,806/x
  3. Step 3: Cross multiply
    91,550x = 126,340.96 × 51,806
  4. Step 4: Simplify right side
    91,550x = 6,545,219,773.76
  5. Step 5: Solve for x
    x = 6,545,219,773.76/91,550
  6. Step 6: Final answer
    x = 71,493.39

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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.