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Finding the Fourth Proportional to 99,469, 137,267.22 and 54,757

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Solution

The fourth proportional to 99,469, 137,267.22 and 54,757 is: 75,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,469 : 137,267.22 = 54,757 : x
  2. Step 2: Convert to fraction form
    99,469/137,267.22 = 54,757/x
  3. Step 3: Cross multiply
    99,469x = 137,267.22 × 54,757
  4. Step 4: Simplify right side
    99,469x = 7,516,341,165.54
  5. Step 5: Solve for x
    x = 7,516,341,165.54/99,469
  6. Step 6: Final answer
    x = 75,564.66

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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.