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Finding the Fourth Proportional to 200,069.11, 299,770.48 and 140,780.22

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Solution

The fourth proportional to 200,069.11, 299,770.48 and 140,780.22 is: 210,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,069.11 : 299,770.48 = 140,780.22 : x
  2. Step 2: Convert to fraction form
    200,069.11/299,770.48 = 140,780.22/x
  3. Step 3: Cross multiply
    200,069.11x = 299,770.48 × 140,780.22
  4. Step 4: Simplify right side
    200,069.11x = 42,201,754,123.91
  5. Step 5: Solve for x
    x = 42,201,754,123.91/200,069.11
  6. Step 6: Final answer
    x = 210,935.88

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1.5x scale

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.