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Finding the Fourth Proportional to 242,194.92, 363,340.98 and 84,381

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Solution

The fourth proportional to 242,194.92, 363,340.98 and 84,381 is: 126,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,194.92 : 363,340.98 = 84,381 : x
  2. Step 2: Convert to fraction form
    242,194.92/363,340.98 = 84,381/x
  3. Step 3: Cross multiply
    242,194.92x = 363,340.98 × 84,381
  4. Step 4: Simplify right side
    242,194.92x = 30,659,075,233.38
  5. Step 5: Solve for x
    x = 30,659,075,233.38/242,194.92
  6. Step 6: Final answer
    x = 126,588.43

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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.