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Finding the Fourth Proportional to 205,299.20, 307,948.80 and 120,972.80

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Solution

The fourth proportional to 205,299.20, 307,948.80 and 120,972.80 is: 181,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,299.20 : 307,948.80 = 120,972.80 : x
  2. Step 2: Convert to fraction form
    205,299.20/307,948.80 = 120,972.80/x
  3. Step 3: Cross multiply
    205,299.20x = 307,948.80 × 120,972.80
  4. Step 4: Simplify right side
    205,299.20x = 37,253,428,592.64
  5. Step 5: Solve for x
    x = 37,253,428,592.64/205,299.20
  6. Step 6: Final answer
    x = 181,459.20

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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.