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Finding the Fourth Proportional to 141,209, 194,912.16 and 90,908

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Solution

The fourth proportional to 141,209, 194,912.16 and 90,908 is: 125,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,209 : 194,912.16 = 90,908 : x
  2. Step 2: Convert to fraction form
    141,209/194,912.16 = 90,908/x
  3. Step 3: Cross multiply
    141,209x = 194,912.16 × 90,908
  4. Step 4: Simplify right side
    141,209x = 17,719,074,641.28
  5. Step 5: Solve for x
    x = 17,719,074,641.28/141,209
  6. Step 6: Final answer
    x = 125,481.20

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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.