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Finding the Fourth Proportional to 72,939.87, 109,424.55 and 30,820.07

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Solution

The fourth proportional to 72,939.87, 109,424.55 and 30,820.07 is: 46,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939.87 : 109,424.55 = 30,820.07 : x
  2. Step 2: Convert to fraction form
    72,939.87/109,424.55 = 30,820.07/x
  3. Step 3: Cross multiply
    72,939.87x = 109,424.55 × 30,820.07
  4. Step 4: Simplify right side
    72,939.87x = 3,372,472,564.28
  5. Step 5: Solve for x
    x = 3,372,472,564.28/72,939.87
  6. Step 6: Final answer
    x = 46,236.34

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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.