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Finding the Fourth Proportional to 72,534.75, 108,796.96 and 19,225.54

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Solution

The fourth proportional to 72,534.75, 108,796.96 and 19,225.54 is: 28,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,534.75 : 108,796.96 = 19,225.54 : x
  2. Step 2: Convert to fraction form
    72,534.75/108,796.96 = 19,225.54/x
  3. Step 3: Cross multiply
    72,534.75x = 108,796.96 × 19,225.54
  4. Step 4: Simplify right side
    72,534.75x = 2,091,680,306.36
  5. Step 5: Solve for x
    x = 2,091,680,306.36/72,534.75
  6. Step 6: Final answer
    x = 28,836.94

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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.