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Finding the Fourth Proportional to 72,750.78, 109,118.82 and 22,831.26

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Solution

The fourth proportional to 72,750.78, 109,118.82 and 22,831.26 is: 34,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,750.78 : 109,118.82 = 22,831.26 : x
  2. Step 2: Convert to fraction form
    72,750.78/109,118.82 = 22,831.26/x
  3. Step 3: Cross multiply
    72,750.78x = 109,118.82 × 22,831.26
  4. Step 4: Simplify right side
    72,750.78x = 2,491,320,150.31
  5. Step 5: Solve for x
    x = 2,491,320,150.31/72,750.78
  6. Step 6: Final answer
    x = 34,244.58

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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.