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Finding the Fourth Proportional to 194,074.38, 290,878.29 and 105,324.30

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Solution

The fourth proportional to 194,074.38, 290,878.29 and 105,324.30 is: 157,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,074.38 : 290,878.29 = 105,324.30 : x
  2. Step 2: Convert to fraction form
    194,074.38/290,878.29 = 105,324.30/x
  3. Step 3: Cross multiply
    194,074.38x = 290,878.29 × 105,324.30
  4. Step 4: Simplify right side
    194,074.38x = 30,636,552,279.45
  5. Step 5: Solve for x
    x = 30,636,552,279.45/194,074.38
  6. Step 6: Final answer
    x = 157,859.85

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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.