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Finding the Fourth Proportional to 109,138.92, 163,724.76 and 39,012.75

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Solution

The fourth proportional to 109,138.92, 163,724.76 and 39,012.75 is: 58,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138.92 : 163,724.76 = 39,012.75 : x
  2. Step 2: Convert to fraction form
    109,138.92/163,724.76 = 39,012.75/x
  3. Step 3: Cross multiply
    109,138.92x = 163,724.76 × 39,012.75
  4. Step 4: Simplify right side
    109,138.92x = 6,387,353,130.69
  5. Step 5: Solve for x
    x = 6,387,353,130.69/109,138.92
  6. Step 6: Final answer
    x = 58,524.98

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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.