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Finding the Fourth Proportional to 194,523.84, 291,780 and 80,660.16

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Solution

The fourth proportional to 194,523.84, 291,780 and 80,660.16 is: 120,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,523.84 : 291,780 = 80,660.16 : x
  2. Step 2: Convert to fraction form
    194,523.84/291,780 = 80,660.16/x
  3. Step 3: Cross multiply
    194,523.84x = 291,780 × 80,660.16
  4. Step 4: Simplify right side
    194,523.84x = 23,535,021,484.80
  5. Step 5: Solve for x
    x = 23,535,021,484.80/194,523.84
  6. Step 6: Final answer
    x = 120,987.85

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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.