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Finding the Fourth Proportional to 199,353.30, 298,691.65 and 120,301.45

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Solution

The fourth proportional to 199,353.30, 298,691.65 and 120,301.45 is: 180,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,353.30 : 298,691.65 = 120,301.45 : x
  2. Step 2: Convert to fraction form
    199,353.30/298,691.65 = 120,301.45/x
  3. Step 3: Cross multiply
    199,353.30x = 298,691.65 × 120,301.45
  4. Step 4: Simplify right side
    199,353.30x = 35,933,039,681.68
  5. Step 5: Solve for x
    x = 35,933,039,681.68/199,353.30
  6. Step 6: Final answer
    x = 180,248.03

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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.