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Finding the Fourth Proportional to 206,158.40, 309,266.40 and 87,828.80

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Solution

The fourth proportional to 206,158.40, 309,266.40 and 87,828.80 is: 131,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158.40 : 309,266.40 = 87,828.80 : x
  2. Step 2: Convert to fraction form
    206,158.40/309,266.40 = 87,828.80/x
  3. Step 3: Cross multiply
    206,158.40x = 309,266.40 × 87,828.80
  4. Step 4: Simplify right side
    206,158.40x = 27,162,496,792.32
  5. Step 5: Solve for x
    x = 27,162,496,792.32/206,158.40
  6. Step 6: Final answer
    x = 131,755.47

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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.