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Finding the Fourth Proportional to 72,836.97, 109,247.60 and 19,534.32

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Solution

The fourth proportional to 72,836.97, 109,247.60 and 19,534.32 is: 29,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836.97 : 109,247.60 = 19,534.32 : x
  2. Step 2: Convert to fraction form
    72,836.97/109,247.60 = 19,534.32/x
  3. Step 3: Cross multiply
    72,836.97x = 109,247.60 × 19,534.32
  4. Step 4: Simplify right side
    72,836.97x = 2,134,077,479.96
  5. Step 5: Solve for x
    x = 2,134,077,479.96/72,836.97
  6. Step 6: Final answer
    x = 29,299.37

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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.