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Finding the Fourth Proportional to 206,563.52, 309,812.88 and 56,815.04

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Solution

The fourth proportional to 206,563.52, 309,812.88 and 56,815.04 is: 85,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,563.52 : 309,812.88 = 56,815.04 : x
  2. Step 2: Convert to fraction form
    206,563.52/309,812.88 = 56,815.04/x
  3. Step 3: Cross multiply
    206,563.52x = 309,812.88 × 56,815.04
  4. Step 4: Simplify right side
    206,563.52x = 17,602,031,169.72
  5. Step 5: Solve for x
    x = 17,602,031,169.72/206,563.52
  6. Step 6: Final answer
    x = 85,213.65

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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.