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Finding the Fourth Proportional to 206,519.04, 309,781.98 and 56,758.40

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Solution

The fourth proportional to 206,519.04, 309,781.98 and 56,758.40 is: 85,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.04 : 309,781.98 = 56,758.40 : x
  2. Step 2: Convert to fraction form
    206,519.04/309,781.98 = 56,758.40/x
  3. Step 3: Cross multiply
    206,519.04x = 309,781.98 × 56,758.40
  4. Step 4: Simplify right side
    206,519.04x = 17,582,729,533.63
  5. Step 5: Solve for x
    x = 17,582,729,533.63/206,519.04
  6. Step 6: Final answer
    x = 85,138.54

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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.