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Finding the Fourth Proportional to 75,880.80, 113,890.05 and 38,466.90

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Solution

The fourth proportional to 75,880.80, 113,890.05 and 38,466.90 is: 57,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.80 : 113,890.05 = 38,466.90 : x
  2. Step 2: Convert to fraction form
    75,880.80/113,890.05 = 38,466.90/x
  3. Step 3: Cross multiply
    75,880.80x = 113,890.05 × 38,466.90
  4. Step 4: Simplify right side
    75,880.80x = 4,380,997,164.35
  5. Step 5: Solve for x
    x = 4,380,997,164.35/75,880.80
  6. Step 6: Final answer
    x = 57,735.25

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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.