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Finding the Fourth Proportional to 138,827.60, 208,241.40 and 68,843.60

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Solution

The fourth proportional to 138,827.60, 208,241.40 and 68,843.60 is: 103,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.60 : 208,241.40 = 68,843.60 : x
  2. Step 2: Convert to fraction form
    138,827.60/208,241.40 = 68,843.60/x
  3. Step 3: Cross multiply
    138,827.60x = 208,241.40 × 68,843.60
  4. Step 4: Simplify right side
    138,827.60x = 14,336,087,645.04
  5. Step 5: Solve for x
    x = 14,336,087,645.04/138,827.60
  6. Step 6: Final answer
    x = 103,265.40

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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.