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Finding the Fourth Proportional to 136,294.31, 188,081.96 and 75,863.40

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Solution

The fourth proportional to 136,294.31, 188,081.96 and 75,863.40 is: 104,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,294.31 : 188,081.96 = 75,863.40 : x
  2. Step 2: Convert to fraction form
    136,294.31/188,081.96 = 75,863.40/x
  3. Step 3: Cross multiply
    136,294.31x = 188,081.96 × 75,863.40
  4. Step 4: Simplify right side
    136,294.31x = 14,268,536,869.43
  5. Step 5: Solve for x
    x = 14,268,536,869.43/136,294.31
  6. Step 6: Final answer
    x = 104,689.16

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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.