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Finding the Fourth Proportional to 194,190.70, 291,295.65 and 100,878.70

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Solution

The fourth proportional to 194,190.70, 291,295.65 and 100,878.70 is: 151,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,190.70 : 291,295.65 = 100,878.70 : x
  2. Step 2: Convert to fraction form
    194,190.70/291,295.65 = 100,878.70/x
  3. Step 3: Cross multiply
    194,190.70x = 291,295.65 × 100,878.70
  4. Step 4: Simplify right side
    194,190.70x = 29,385,526,487.66
  5. Step 5: Solve for x
    x = 29,385,526,487.66/194,190.70
  6. Step 6: Final answer
    x = 151,323.04

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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.