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Finding the Fourth Proportional to 109,338.96, 163,905.72 and 99,600.08

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Solution

The fourth proportional to 109,338.96, 163,905.72 and 99,600.08 is: 149,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,338.96 : 163,905.72 = 99,600.08 : x
  2. Step 2: Convert to fraction form
    109,338.96/163,905.72 = 99,600.08/x
  3. Step 3: Cross multiply
    109,338.96x = 163,905.72 × 99,600.08
  4. Step 4: Simplify right side
    109,338.96x = 16,325,022,824.46
  5. Step 5: Solve for x
    x = 16,325,022,824.46/109,338.96
  6. Step 6: Final answer
    x = 149,306.55

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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.