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Finding the Fourth Proportional to 91,211.60, 136,803.72 and 28,874

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Solution

The fourth proportional to 91,211.60, 136,803.72 and 28,874 is: 43,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,211.60 : 136,803.72 = 28,874 : x
  2. Step 2: Convert to fraction form
    91,211.60/136,803.72 = 28,874/x
  3. Step 3: Cross multiply
    91,211.60x = 136,803.72 × 28,874
  4. Step 4: Simplify right side
    91,211.60x = 3,950,070,611.28
  5. Step 5: Solve for x
    x = 3,950,070,611.28/91,211.60
  6. Step 6: Final answer
    x = 43,306.67

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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.