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Finding the Fourth Proportional to 72,749.61, 109,119.87 and 34,825.80

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Solution

The fourth proportional to 72,749.61, 109,119.87 and 34,825.80 is: 52,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749.61 : 109,119.87 = 34,825.80 : x
  2. Step 2: Convert to fraction form
    72,749.61/109,119.87 = 34,825.80/x
  3. Step 3: Cross multiply
    72,749.61x = 109,119.87 × 34,825.80
  4. Step 4: Simplify right side
    72,749.61x = 3,800,186,768.65
  5. Step 5: Solve for x
    x = 3,800,186,768.65/72,749.61
  6. Step 6: Final answer
    x = 52,236.52

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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.