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Finding the Fourth Proportional to 206,604.08, 309,865.28 and 56,805.72

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Solution

The fourth proportional to 206,604.08, 309,865.28 and 56,805.72 is: 85,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,604.08 : 309,865.28 = 56,805.72 : x
  2. Step 2: Convert to fraction form
    206,604.08/309,865.28 = 56,805.72/x
  3. Step 3: Cross multiply
    206,604.08x = 309,865.28 × 56,805.72
  4. Step 4: Simplify right side
    206,604.08x = 17,602,120,333.40
  5. Step 5: Solve for x
    x = 17,602,120,333.40/206,604.08
  6. Step 6: Final answer
    x = 85,197.35

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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.