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Finding the Fourth Proportional to 142,750.78, 196,990.84 and 82,323.96

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Solution

The fourth proportional to 142,750.78, 196,990.84 and 82,323.96 is: 113,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750.78 : 196,990.84 = 82,323.96 : x
  2. Step 2: Convert to fraction form
    142,750.78/196,990.84 = 82,323.96/x
  3. Step 3: Cross multiply
    142,750.78x = 196,990.84 × 82,323.96
  4. Step 4: Simplify right side
    142,750.78x = 16,217,066,032.53
  5. Step 5: Solve for x
    x = 16,217,066,032.53/142,750.78
  6. Step 6: Final answer
    x = 113,604.04

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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.