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Finding the Fourth Proportional to 136,293.32, 188,083.44 and 75,863

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Solution

The fourth proportional to 136,293.32, 188,083.44 and 75,863 is: 104,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,293.32 : 188,083.44 = 75,863 : x
  2. Step 2: Convert to fraction form
    136,293.32/188,083.44 = 75,863/x
  3. Step 3: Cross multiply
    136,293.32x = 188,083.44 × 75,863
  4. Step 4: Simplify right side
    136,293.32x = 14,268,574,008.72
  5. Step 5: Solve for x
    x = 14,268,574,008.72/136,293.32
  6. Step 6: Final answer
    x = 104,690.19

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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.