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Finding the Fourth Proportional to 142,108.50, 196,111.32 and 78,446.34

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Solution

The fourth proportional to 142,108.50, 196,111.32 and 78,446.34 is: 108,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,108.50 : 196,111.32 = 78,446.34 : x
  2. Step 2: Convert to fraction form
    142,108.50/196,111.32 = 78,446.34/x
  3. Step 3: Cross multiply
    142,108.50x = 196,111.32 × 78,446.34
  4. Step 4: Simplify right side
    142,108.50x = 15,384,215,286.57
  5. Step 5: Solve for x
    x = 15,384,215,286.57/142,108.50
  6. Step 6: Final answer
    x = 108,256.83

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