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Finding the Fourth Proportional to 230,144.71, 317,599.80 and 128,189.73

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Solution

The fourth proportional to 230,144.71, 317,599.80 and 128,189.73 is: 176,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,144.71 : 317,599.80 = 128,189.73 : x
  2. Step 2: Convert to fraction form
    230,144.71/317,599.80 = 128,189.73/x
  3. Step 3: Cross multiply
    230,144.71x = 317,599.80 × 128,189.73
  4. Step 4: Simplify right side
    230,144.71x = 40,713,032,610.05
  5. Step 5: Solve for x
    x = 40,713,032,610.05/230,144.71
  6. Step 6: Final answer
    x = 176,901.88

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1.5x scale

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.