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Finding the Fourth Proportional to 200,264.20, 299,813.10 and 121,337.80

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Solution

The fourth proportional to 200,264.20, 299,813.10 and 121,337.80 is: 181,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,264.20 : 299,813.10 = 121,337.80 : x
  2. Step 2: Convert to fraction form
    200,264.20/299,813.10 = 121,337.80/x
  3. Step 3: Cross multiply
    200,264.20x = 299,813.10 × 121,337.80
  4. Step 4: Simplify right side
    200,264.20x = 36,378,661,965.18
  5. Step 5: Solve for x
    x = 36,378,661,965.18/200,264.20
  6. Step 6: Final answer
    x = 181,653.35

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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.