Home / 97,974-146,961.72-24,102

Finding the Fourth Proportional to 97,974, 146,961.72 and 24,102

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Solution

The fourth proportional to 97,974, 146,961.72 and 24,102 is: 36,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,974 : 146,961.72 = 24,102 : x
  2. Step 2: Convert to fraction form
    97,974/146,961.72 = 24,102/x
  3. Step 3: Cross multiply
    97,974x = 146,961.72 × 24,102
  4. Step 4: Simplify right side
    97,974x = 3,542,071,375.44
  5. Step 5: Solve for x
    x = 3,542,071,375.44/97,974
  6. Step 6: Final answer
    x = 36,153.18

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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.