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Finding the Fourth Proportional to 198,141.53, 296,983.41 and 91,302.11

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Solution

The fourth proportional to 198,141.53, 296,983.41 and 91,302.11 is: 136,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,141.53 : 296,983.41 = 91,302.11 : x
  2. Step 2: Convert to fraction form
    198,141.53/296,983.41 = 91,302.11/x
  3. Step 3: Cross multiply
    198,141.53x = 296,983.41 × 91,302.11
  4. Step 4: Simplify right side
    198,141.53x = 27,115,211,968.00
  5. Step 5: Solve for x
    x = 27,115,211,968.00/198,141.53
  6. Step 6: Final answer
    x = 136,847.70

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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.