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Finding the Fourth Proportional to 199,903.32, 275,839.92 and 128,380.14

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Solution

The fourth proportional to 199,903.32, 275,839.92 and 128,380.14 is: 177,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,903.32 : 275,839.92 = 128,380.14 : x
  2. Step 2: Convert to fraction form
    199,903.32/275,839.92 = 128,380.14/x
  3. Step 3: Cross multiply
    199,903.32x = 275,839.92 × 128,380.14
  4. Step 4: Simplify right side
    199,903.32x = 35,412,367,547.19
  5. Step 5: Solve for x
    x = 35,412,367,547.19/199,903.32
  6. Step 6: Final answer
    x = 177,147.47

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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.