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Finding the Fourth Proportional to 109,512.72, 164,420.36 and 75,695.43

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Solution

The fourth proportional to 109,512.72, 164,420.36 and 75,695.43 is: 113,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512.72 : 164,420.36 = 75,695.43 : x
  2. Step 2: Convert to fraction form
    109,512.72/164,420.36 = 75,695.43/x
  3. Step 3: Cross multiply
    109,512.72x = 164,420.36 × 75,695.43
  4. Step 4: Simplify right side
    109,512.72x = 12,445,869,472.48
  5. Step 5: Solve for x
    x = 12,445,869,472.48/109,512.72
  6. Step 6: Final answer
    x = 113,647.71

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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.