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Finding the Fourth Proportional to 75,894.36, 113,911.50 and 38,480.64

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Solution

The fourth proportional to 75,894.36, 113,911.50 and 38,480.64 is: 57,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.36 : 113,911.50 = 38,480.64 : x
  2. Step 2: Convert to fraction form
    75,894.36/113,911.50 = 38,480.64/x
  3. Step 3: Cross multiply
    75,894.36x = 113,911.50 × 38,480.64
  4. Step 4: Simplify right side
    75,894.36x = 4,383,387,423.36
  5. Step 5: Solve for x
    x = 4,383,387,423.36/75,894.36
  6. Step 6: Final answer
    x = 57,756.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.