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Finding the Fourth Proportional to 206,437.67, 309,656.99 and 56,680.01

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Solution

The fourth proportional to 206,437.67, 309,656.99 and 56,680.01 is: 85,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,437.67 : 309,656.99 = 56,680.01 : x
  2. Step 2: Convert to fraction form
    206,437.67/309,656.99 = 56,680.01/x
  3. Step 3: Cross multiply
    206,437.67x = 309,656.99 × 56,680.01
  4. Step 4: Simplify right side
    206,437.67x = 17,551,361,289.77
  5. Step 5: Solve for x
    x = 17,551,361,289.77/206,437.67
  6. Step 6: Final answer
    x = 85,020.15

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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.