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Finding the Fourth Proportional to 198,312, 273,685.20 and 122,875.20

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Solution

The fourth proportional to 198,312, 273,685.20 and 122,875.20 is: 169,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,312 : 273,685.20 = 122,875.20 : x
  2. Step 2: Convert to fraction form
    198,312/273,685.20 = 122,875.20/x
  3. Step 3: Cross multiply
    198,312x = 273,685.20 × 122,875.20
  4. Step 4: Simplify right side
    198,312x = 33,629,123,687.04
  5. Step 5: Solve for x
    x = 33,629,123,687.04/198,312
  6. Step 6: Final answer
    x = 169,576.85

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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.