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Finding the Fourth Proportional to 206,440.70, 309,670.05 and 56,677.10

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Solution

The fourth proportional to 206,440.70, 309,670.05 and 56,677.10 is: 85,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,440.70 : 309,670.05 = 56,677.10 : x
  2. Step 2: Convert to fraction form
    206,440.70/309,670.05 = 56,677.10/x
  3. Step 3: Cross multiply
    206,440.70x = 309,670.05 × 56,677.10
  4. Step 4: Simplify right side
    206,440.70x = 17,551,200,390.86
  5. Step 5: Solve for x
    x = 17,551,200,390.86/206,440.70
  6. Step 6: Final answer
    x = 85,018.12

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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.