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Finding the Fourth Proportional to 72,766.72, 109,192 and 30,643.52

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Solution

The fourth proportional to 72,766.72, 109,192 and 30,643.52 is: 45,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,766.72 : 109,192 = 30,643.52 : x
  2. Step 2: Convert to fraction form
    72,766.72/109,192 = 30,643.52/x
  3. Step 3: Cross multiply
    72,766.72x = 109,192 × 30,643.52
  4. Step 4: Simplify right side
    72,766.72x = 3,346,027,235.84
  5. Step 5: Solve for x
    x = 3,346,027,235.84/72,766.72
  6. Step 6: Final answer
    x = 45,982.93

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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.