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Finding the Fourth Proportional to 206,438.17, 309,657.74 and 56,680.51

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Solution

The fourth proportional to 206,438.17, 309,657.74 and 56,680.51 is: 85,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.17 : 309,657.74 = 56,680.51 : x
  2. Step 2: Convert to fraction form
    206,438.17/309,657.74 = 56,680.51/x
  3. Step 3: Cross multiply
    206,438.17x = 309,657.74 × 56,680.51
  4. Step 4: Simplify right side
    206,438.17x = 17,551,557,571.10
  5. Step 5: Solve for x
    x = 17,551,557,571.10/206,438.17
  6. Step 6: Final answer
    x = 85,020.89

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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.