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Finding the Fourth Proportional to 204,461.20, 306,691.80 and 56,717.20

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Solution

The fourth proportional to 204,461.20, 306,691.80 and 56,717.20 is: 85,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,461.20 : 306,691.80 = 56,717.20 : x
  2. Step 2: Convert to fraction form
    204,461.20/306,691.80 = 56,717.20/x
  3. Step 3: Cross multiply
    204,461.20x = 306,691.80 × 56,717.20
  4. Step 4: Simplify right side
    204,461.20x = 17,394,700,158.96
  5. Step 5: Solve for x
    x = 17,394,700,158.96/204,461.20
  6. Step 6: Final answer
    x = 85,075.80

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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.