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Finding the Fourth Proportional to 117,082.80, 161,464.60 and 77,722.17

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Solution

The fourth proportional to 117,082.80, 161,464.60 and 77,722.17 is: 107,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082.80 : 161,464.60 = 77,722.17 : x
  2. Step 2: Convert to fraction form
    117,082.80/161,464.60 = 77,722.17/x
  3. Step 3: Cross multiply
    117,082.80x = 161,464.60 × 77,722.17
  4. Step 4: Simplify right side
    117,082.80x = 12,549,379,090.18
  5. Step 5: Solve for x
    x = 12,549,379,090.18/117,082.80
  6. Step 6: Final answer
    x = 107,183.80

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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.