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Finding the Fourth Proportional to 198,455, 273,871.14 and 113,618.84

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Solution

The fourth proportional to 198,455, 273,871.14 and 113,618.84 is: 156,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,455 : 273,871.14 = 113,618.84 : x
  2. Step 2: Convert to fraction form
    198,455/273,871.14 = 113,618.84/x
  3. Step 3: Cross multiply
    198,455x = 273,871.14 × 113,618.84
  4. Step 4: Simplify right side
    198,455x = 31,116,921,236.28
  5. Step 5: Solve for x
    x = 31,116,921,236.28/198,455
  6. Step 6: Final answer
    x = 156,795.85

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1.5x scale

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.