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Finding the Fourth Proportional to 199,614.40, 299,421.60 and 143,845.90

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Solution

The fourth proportional to 199,614.40, 299,421.60 and 143,845.90 is: 215,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,614.40 : 299,421.60 = 143,845.90 : x
  2. Step 2: Convert to fraction form
    199,614.40/299,421.60 = 143,845.90/x
  3. Step 3: Cross multiply
    199,614.40x = 299,421.60 × 143,845.90
  4. Step 4: Simplify right side
    199,614.40x = 43,070,569,531.44
  5. Step 5: Solve for x
    x = 43,070,569,531.44/199,614.40
  6. Step 6: Final answer
    x = 215,768.85

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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.