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Finding the Fourth Proportional to 180,835.81, 271,191.35 and 74,189.66

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Solution

The fourth proportional to 180,835.81, 271,191.35 and 74,189.66 is: 111,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,835.81 : 271,191.35 = 74,189.66 : x
  2. Step 2: Convert to fraction form
    180,835.81/271,191.35 = 74,189.66/x
  3. Step 3: Cross multiply
    180,835.81x = 271,191.35 × 74,189.66
  4. Step 4: Simplify right side
    180,835.81x = 20,119,592,880.96
  5. Step 5: Solve for x
    x = 20,119,592,880.96/180,835.81
  6. Step 6: Final answer
    x = 111,258.90

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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.