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Finding the Fourth Proportional to 66,747.25, 100,032.31 and 55,675.63

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Solution

The fourth proportional to 66,747.25, 100,032.31 and 55,675.63 is: 83,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,747.25 : 100,032.31 = 55,675.63 : x
  2. Step 2: Convert to fraction form
    66,747.25/100,032.31 = 55,675.63/x
  3. Step 3: Cross multiply
    66,747.25x = 100,032.31 × 55,675.63
  4. Step 4: Simplify right side
    66,747.25x = 5,569,361,879.61
  5. Step 5: Solve for x
    x = 5,569,361,879.61/66,747.25
  6. Step 6: Final answer
    x = 83,439.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.