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Finding the Fourth Proportional to 259,738.38, 389,646.52 and 91,229

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Solution

The fourth proportional to 259,738.38, 389,646.52 and 91,229 is: 136,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,738.38 : 389,646.52 = 91,229 : x
  2. Step 2: Convert to fraction form
    259,738.38/389,646.52 = 91,229/x
  3. Step 3: Cross multiply
    259,738.38x = 389,646.52 × 91,229
  4. Step 4: Simplify right side
    259,738.38x = 35,547,062,373.08
  5. Step 5: Solve for x
    x = 35,547,062,373.08/259,738.38
  6. Step 6: Final answer
    x = 136,857.18

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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.