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Finding the Fourth Proportional to 180,800.50, 271,251.53 and 66,946.59

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Solution

The fourth proportional to 180,800.50, 271,251.53 and 66,946.59 is: 100,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800.50 : 271,251.53 = 66,946.59 : x
  2. Step 2: Convert to fraction form
    180,800.50/271,251.53 = 66,946.59/x
  3. Step 3: Cross multiply
    180,800.50x = 271,251.53 × 66,946.59
  4. Step 4: Simplify right side
    180,800.50x = 18,159,365,133.15
  5. Step 5: Solve for x
    x = 18,159,365,133.15/180,800.50
  6. Step 6: Final answer
    x = 100,438.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.