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Finding the Fourth Proportional to 117,197.10, 161,720.42 and 65,504.52

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Solution

The fourth proportional to 117,197.10, 161,720.42 and 65,504.52 is: 90,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,197.10 : 161,720.42 = 65,504.52 : x
  2. Step 2: Convert to fraction form
    117,197.10/161,720.42 = 65,504.52/x
  3. Step 3: Cross multiply
    117,197.10x = 161,720.42 × 65,504.52
  4. Step 4: Simplify right side
    117,197.10x = 10,593,418,158.78
  5. Step 5: Solve for x
    x = 10,593,418,158.78/117,197.10
  6. Step 6: Final answer
    x = 90,389.76

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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.