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Finding the Fourth Proportional to 217,412.80, 326,115.95 and 75,361.48

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Solution

The fourth proportional to 217,412.80, 326,115.95 and 75,361.48 is: 113,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,412.80 : 326,115.95 = 75,361.48 : x
  2. Step 2: Convert to fraction form
    217,412.80/326,115.95 = 75,361.48/x
  3. Step 3: Cross multiply
    217,412.80x = 326,115.95 × 75,361.48
  4. Step 4: Simplify right side
    217,412.80x = 24,576,580,643.61
  5. Step 5: Solve for x
    x = 24,576,580,643.61/217,412.80
  6. Step 6: Final answer
    x = 113,041.09

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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.