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Finding the Fourth Proportional to 75,331, 113,035.38 and 38,395

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Solution

The fourth proportional to 75,331, 113,035.38 and 38,395 is: 57,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,331 : 113,035.38 = 38,395 : x
  2. Step 2: Convert to fraction form
    75,331/113,035.38 = 38,395/x
  3. Step 3: Cross multiply
    75,331x = 113,035.38 × 38,395
  4. Step 4: Simplify right side
    75,331x = 4,339,993,415.10
  5. Step 5: Solve for x
    x = 4,339,993,415.10/75,331
  6. Step 6: Final answer
    x = 57,612.32

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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.