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Finding the Fourth Proportional to 117,197.85, 161,721.45 and 65,505.27

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Solution

The fourth proportional to 117,197.85, 161,721.45 and 65,505.27 is: 90,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,197.85 : 161,721.45 = 65,505.27 : x
  2. Step 2: Convert to fraction form
    117,197.85/161,721.45 = 65,505.27/x
  3. Step 3: Cross multiply
    117,197.85x = 161,721.45 × 65,505.27
  4. Step 4: Simplify right side
    117,197.85x = 10,593,607,247.04
  5. Step 5: Solve for x
    x = 10,593,607,247.04/117,197.85
  6. Step 6: Final answer
    x = 90,390.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.