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Finding the Fourth Proportional to 200,139.40, 299,480.10 and 147,651.40

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Solution

The fourth proportional to 200,139.40, 299,480.10 and 147,651.40 is: 220,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,139.40 : 299,480.10 = 147,651.40 : x
  2. Step 2: Convert to fraction form
    200,139.40/299,480.10 = 147,651.40/x
  3. Step 3: Cross multiply
    200,139.40x = 299,480.10 × 147,651.40
  4. Step 4: Simplify right side
    200,139.40x = 44,218,656,037.14
  5. Step 5: Solve for x
    x = 44,218,656,037.14/200,139.40
  6. Step 6: Final answer
    x = 220,939.29

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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.