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Finding the Fourth Proportional to 206,531.47, 309,800.62 and 56,770.84

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Solution

The fourth proportional to 206,531.47, 309,800.62 and 56,770.84 is: 85,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,531.47 : 309,800.62 = 56,770.84 : x
  2. Step 2: Convert to fraction form
    206,531.47/309,800.62 = 56,770.84/x
  3. Step 3: Cross multiply
    206,531.47x = 309,800.62 × 56,770.84
  4. Step 4: Simplify right side
    206,531.47x = 17,587,639,880.92
  5. Step 5: Solve for x
    x = 17,587,639,880.92/206,531.47
  6. Step 6: Final answer
    x = 85,157.19

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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.