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Finding the Fourth Proportional to 204,911.40, 307,039.05 and 129,897.30

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Solution

The fourth proportional to 204,911.40, 307,039.05 and 129,897.30 is: 194,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,911.40 : 307,039.05 = 129,897.30 : x
  2. Step 2: Convert to fraction form
    204,911.40/307,039.05 = 129,897.30/x
  3. Step 3: Cross multiply
    204,911.40x = 307,039.05 × 129,897.30
  4. Step 4: Simplify right side
    204,911.40x = 39,883,543,589.57
  5. Step 5: Solve for x
    x = 39,883,543,589.57/204,911.40
  6. Step 6: Final answer
    x = 194,637.99

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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.