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Finding the Fourth Proportional to 180,871.40, 271,230.30 and 87,405.80

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Solution

The fourth proportional to 180,871.40, 271,230.30 and 87,405.80 is: 131,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,871.40 : 271,230.30 = 87,405.80 : x
  2. Step 2: Convert to fraction form
    180,871.40/271,230.30 = 87,405.80/x
  3. Step 3: Cross multiply
    180,871.40x = 271,230.30 × 87,405.80
  4. Step 4: Simplify right side
    180,871.40x = 23,707,101,355.74
  5. Step 5: Solve for x
    x = 23,707,101,355.74/180,871.40
  6. Step 6: Final answer
    x = 131,071.59

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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.