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Finding the Fourth Proportional to 99,269, 136,991.22 and 54,557

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Solution

The fourth proportional to 99,269, 136,991.22 and 54,557 is: 75,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,269 : 136,991.22 = 54,557 : x
  2. Step 2: Convert to fraction form
    99,269/136,991.22 = 54,557/x
  3. Step 3: Cross multiply
    99,269x = 136,991.22 × 54,557
  4. Step 4: Simplify right side
    99,269x = 7,473,829,989.54
  5. Step 5: Solve for x
    x = 7,473,829,989.54/99,269
  6. Step 6: Final answer
    x = 75,288.66

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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.