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Finding the Fourth Proportional to 145,961.40, 218,942.10 and 82,757.10

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Solution

The fourth proportional to 145,961.40, 218,942.10 and 82,757.10 is: 124,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,961.40 : 218,942.10 = 82,757.10 : x
  2. Step 2: Convert to fraction form
    145,961.40/218,942.10 = 82,757.10/x
  3. Step 3: Cross multiply
    145,961.40x = 218,942.10 × 82,757.10
  4. Step 4: Simplify right side
    145,961.40x = 18,119,013,263.91
  5. Step 5: Solve for x
    x = 18,119,013,263.91/145,961.40
  6. Step 6: Final answer
    x = 124,135.65

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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.