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Finding the Fourth Proportional to 100,640.64, 150,980.16 and 38,305.92

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Solution

The fourth proportional to 100,640.64, 150,980.16 and 38,305.92 is: 57,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,640.64 : 150,980.16 = 38,305.92 : x
  2. Step 2: Convert to fraction form
    100,640.64/150,980.16 = 38,305.92/x
  3. Step 3: Cross multiply
    100,640.64x = 150,980.16 × 38,305.92
  4. Step 4: Simplify right side
    100,640.64x = 5,783,433,930.55
  5. Step 5: Solve for x
    x = 5,783,433,930.55/100,640.64
  6. Step 6: Final answer
    x = 57,466.19

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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.