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Finding the Fourth Proportional to 100,857.78, 151,311 and 30,732.84

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Solution

The fourth proportional to 100,857.78, 151,311 and 30,732.84 is: 46,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857.78 : 151,311 = 30,732.84 : x
  2. Step 2: Convert to fraction form
    100,857.78/151,311 = 30,732.84/x
  3. Step 3: Cross multiply
    100,857.78x = 151,311 × 30,732.84
  4. Step 4: Simplify right side
    100,857.78x = 4,650,216,753.24
  5. Step 5: Solve for x
    x = 4,650,216,753.24/100,857.78
  6. Step 6: Final answer
    x = 46,106.67

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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.