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Finding the Fourth Proportional to 180,881.40, 271,245.30 and 87,415.80

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Solution

The fourth proportional to 180,881.40, 271,245.30 and 87,415.80 is: 131,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,881.40 : 271,245.30 = 87,415.80 : x
  2. Step 2: Convert to fraction form
    180,881.40/271,245.30 = 87,415.80/x
  3. Step 3: Cross multiply
    180,881.40x = 271,245.30 × 87,415.80
  4. Step 4: Simplify right side
    180,881.40x = 23,711,124,895.74
  5. Step 5: Solve for x
    x = 23,711,124,895.74/180,881.40
  6. Step 6: Final answer
    x = 131,086.58

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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.