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Finding the Fourth Proportional to 206,437.94, 309,657.36 and 56,680.28

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Solution

The fourth proportional to 206,437.94, 309,657.36 and 56,680.28 is: 85,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,437.94 : 309,657.36 = 56,680.28 : x
  2. Step 2: Convert to fraction form
    206,437.94/309,657.36 = 56,680.28/x
  3. Step 3: Cross multiply
    206,437.94x = 309,657.36 × 56,680.28
  4. Step 4: Simplify right side
    206,437.94x = 17,551,465,868.86
  5. Step 5: Solve for x
    x = 17,551,465,868.86/206,437.94
  6. Step 6: Final answer
    x = 85,020.54

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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.