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Finding the Fourth Proportional to 194,190.65, 291,285.40 and 87,449.64

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Solution

The fourth proportional to 194,190.65, 291,285.40 and 87,449.64 is: 131,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,190.65 : 291,285.40 = 87,449.64 : x
  2. Step 2: Convert to fraction form
    194,190.65/291,285.40 = 87,449.64/x
  3. Step 3: Cross multiply
    194,190.65x = 291,285.40 × 87,449.64
  4. Step 4: Simplify right side
    194,190.65x = 25,472,803,367.26
  5. Step 5: Solve for x
    x = 25,472,803,367.26/194,190.65
  6. Step 6: Final answer
    x = 131,174.20

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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.