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Finding the Fourth Proportional to 71,755.20, 107,636.52 and 21,831.36

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Solution

The fourth proportional to 71,755.20, 107,636.52 and 21,831.36 is: 32,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755.20 : 107,636.52 = 21,831.36 : x
  2. Step 2: Convert to fraction form
    71,755.20/107,636.52 = 21,831.36/x
  3. Step 3: Cross multiply
    71,755.20x = 107,636.52 × 21,831.36
  4. Step 4: Simplify right side
    71,755.20x = 2,349,851,617.27
  5. Step 5: Solve for x
    x = 2,349,851,617.27/71,755.20
  6. Step 6: Final answer
    x = 32,748.17

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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.