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Finding the Fourth Proportional to 275,079.72, 412,575.30 and 75,353.42

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Solution

The fourth proportional to 275,079.72, 412,575.30 and 75,353.42 is: 113,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,079.72 : 412,575.30 = 75,353.42 : x
  2. Step 2: Convert to fraction form
    275,079.72/412,575.30 = 75,353.42/x
  3. Step 3: Cross multiply
    275,079.72x = 412,575.30 × 75,353.42
  4. Step 4: Simplify right side
    275,079.72x = 31,088,959,862.53
  5. Step 5: Solve for x
    x = 31,088,959,862.53/275,079.72
  6. Step 6: Final answer
    x = 113,018.00

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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.