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Finding the Fourth Proportional to 194,614.80, 291,900.60 and 159,493.20

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Solution

The fourth proportional to 194,614.80, 291,900.60 and 159,493.20 is: 239,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.80 : 291,900.60 = 159,493.20 : x
  2. Step 2: Convert to fraction form
    194,614.80/291,900.60 = 159,493.20/x
  3. Step 3: Cross multiply
    194,614.80x = 291,900.60 × 159,493.20
  4. Step 4: Simplify right side
    194,614.80x = 46,556,160,775.92
  5. Step 5: Solve for x
    x = 46,556,160,775.92/194,614.80
  6. Step 6: Final answer
    x = 239,222.10

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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.