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Finding the Fourth Proportional to 88,388.32, 132,578.08 and 32,980

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Solution

The fourth proportional to 88,388.32, 132,578.08 and 32,980 is: 49,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,388.32 : 132,578.08 = 32,980 : x
  2. Step 2: Convert to fraction form
    88,388.32/132,578.08 = 32,980/x
  3. Step 3: Cross multiply
    88,388.32x = 132,578.08 × 32,980
  4. Step 4: Simplify right side
    88,388.32x = 4,372,425,078.40
  5. Step 5: Solve for x
    x = 4,372,425,078.40/88,388.32
  6. Step 6: Final answer
    x = 49,468.36

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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.