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Finding the Fourth Proportional to 142,570.53, 196,744.95 and 78,906.96

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Solution

The fourth proportional to 142,570.53, 196,744.95 and 78,906.96 is: 108,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,570.53 : 196,744.95 = 78,906.96 : x
  2. Step 2: Convert to fraction form
    142,570.53/196,744.95 = 78,906.96/x
  3. Step 3: Cross multiply
    142,570.53x = 196,744.95 × 78,906.96
  4. Step 4: Simplify right side
    142,570.53x = 15,524,545,899.85
  5. Step 5: Solve for x
    x = 15,524,545,899.85/142,570.53
  6. Step 6: Final answer
    x = 108,890.29

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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.