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Finding the Fourth Proportional to 199,680.30, 299,261.90 and 81,214.02

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Solution

The fourth proportional to 199,680.30, 299,261.90 and 81,214.02 is: 121,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,680.30 : 299,261.90 = 81,214.02 : x
  2. Step 2: Convert to fraction form
    199,680.30/299,261.90 = 81,214.02/x
  3. Step 3: Cross multiply
    199,680.30x = 299,261.90 × 81,214.02
  4. Step 4: Simplify right side
    199,680.30x = 24,304,261,931.84
  5. Step 5: Solve for x
    x = 24,304,261,931.84/199,680.30
  6. Step 6: Final answer
    x = 121,715.87

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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.