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Finding the Fourth Proportional to 91,193.72, 125,794.72 and 54,870

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Solution

The fourth proportional to 91,193.72, 125,794.72 and 54,870 is: 75,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,193.72 : 125,794.72 = 54,870 : x
  2. Step 2: Convert to fraction form
    91,193.72/125,794.72 = 54,870/x
  3. Step 3: Cross multiply
    91,193.72x = 125,794.72 × 54,870
  4. Step 4: Simplify right side
    91,193.72x = 6,902,356,286.40
  5. Step 5: Solve for x
    x = 6,902,356,286.40/91,193.72
  6. Step 6: Final answer
    x = 75,688.94

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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.