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Finding the Fourth Proportional to 72,812.97, 109,261.92 and 30,690.48

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Solution

The fourth proportional to 72,812.97, 109,261.92 and 30,690.48 is: 46,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812.97 : 109,261.92 = 30,690.48 : x
  2. Step 2: Convert to fraction form
    72,812.97/109,261.92 = 30,690.48/x
  3. Step 3: Cross multiply
    72,812.97x = 109,261.92 × 30,690.48
  4. Step 4: Simplify right side
    72,812.97x = 3,353,300,770.52
  5. Step 5: Solve for x
    x = 3,353,300,770.52/72,812.97
  6. Step 6: Final answer
    x = 46,053.62

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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.