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Finding the Fourth Proportional to 69,712.75, 96,203.35 and 39,503.82

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Solution

The fourth proportional to 69,712.75, 96,203.35 and 39,503.82 is: 54,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,712.75 : 96,203.35 = 39,503.82 : x
  2. Step 2: Convert to fraction form
    69,712.75/96,203.35 = 39,503.82/x
  3. Step 3: Cross multiply
    69,712.75x = 96,203.35 × 39,503.82
  4. Step 4: Simplify right side
    69,712.75x = 3,800,400,231.94
  5. Step 5: Solve for x
    x = 3,800,400,231.94/69,712.75
  6. Step 6: Final answer
    x = 54,515.14

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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.