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Finding the Fourth Proportional to 99,744.75, 137,647.76 and 55,032.75

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Solution

The fourth proportional to 99,744.75, 137,647.76 and 55,032.75 is: 75,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744.75 : 137,647.76 = 55,032.75 : x
  2. Step 2: Convert to fraction form
    99,744.75/137,647.76 = 55,032.75/x
  3. Step 3: Cross multiply
    99,744.75x = 137,647.76 × 55,032.75
  4. Step 4: Simplify right side
    99,744.75x = 7,575,134,488.98
  5. Step 5: Solve for x
    x = 7,575,134,488.98/99,744.75
  6. Step 6: Final answer
    x = 75,945.20

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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.