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Finding the Fourth Proportional to 100,912.32, 151,328.32 and 34,338.88

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Solution

The fourth proportional to 100,912.32, 151,328.32 and 34,338.88 is: 51,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912.32 : 151,328.32 = 34,338.88 : x
  2. Step 2: Convert to fraction form
    100,912.32/151,328.32 = 34,338.88/x
  3. Step 3: Cross multiply
    100,912.32x = 151,328.32 × 34,338.88
  4. Step 4: Simplify right side
    100,912.32x = 5,196,445,021.08
  5. Step 5: Solve for x
    x = 5,196,445,021.08/100,912.32
  6. Step 6: Final answer
    x = 51,494.65

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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.