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Finding the Fourth Proportional to 109,142.81, 163,734.05 and 45,101.11

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Solution

The fourth proportional to 109,142.81, 163,734.05 and 45,101.11 is: 67,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,142.81 : 163,734.05 = 45,101.11 : x
  2. Step 2: Convert to fraction form
    109,142.81/163,734.05 = 45,101.11/x
  3. Step 3: Cross multiply
    109,142.81x = 163,734.05 × 45,101.11
  4. Step 4: Simplify right side
    109,142.81x = 7,384,587,056.22
  5. Step 5: Solve for x
    x = 7,384,587,056.22/109,142.81
  6. Step 6: Final answer
    x = 67,659.86

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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.