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Finding the Fourth Proportional to 100,702.40, 138,972.88 and 55,383.89

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Solution

The fourth proportional to 100,702.40, 138,972.88 and 55,383.89 is: 76,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.40 : 138,972.88 = 55,383.89 : x
  2. Step 2: Convert to fraction form
    100,702.40/138,972.88 = 55,383.89/x
  3. Step 3: Cross multiply
    100,702.40x = 138,972.88 × 55,383.89
  4. Step 4: Simplify right side
    100,702.40x = 7,696,858,698.90
  5. Step 5: Solve for x
    x = 7,696,858,698.90/100,702.40
  6. Step 6: Final answer
    x = 76,431.73

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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.