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Finding the Fourth Proportional to 142,580.96, 196,755.51 and 78,914.96

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Solution

The fourth proportional to 142,580.96, 196,755.51 and 78,914.96 is: 108,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580.96 : 196,755.51 = 78,914.96 : x
  2. Step 2: Convert to fraction form
    142,580.96/196,755.51 = 78,914.96/x
  3. Step 3: Cross multiply
    142,580.96x = 196,755.51 × 78,914.96
  4. Step 4: Simplify right side
    142,580.96x = 15,526,952,217.65
  5. Step 5: Solve for x
    x = 15,526,952,217.65/142,580.96
  6. Step 6: Final answer
    x = 108,899.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.