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Finding the Fourth Proportional to 117,191.82, 161,723.30 and 71,236.24

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Solution

The fourth proportional to 117,191.82, 161,723.30 and 71,236.24 is: 98,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,191.82 : 161,723.30 = 71,236.24 : x
  2. Step 2: Convert to fraction form
    117,191.82/161,723.30 = 71,236.24/x
  3. Step 3: Cross multiply
    117,191.82x = 161,723.30 × 71,236.24
  4. Step 4: Simplify right side
    117,191.82x = 11,520,559,208.93
  5. Step 5: Solve for x
    x = 11,520,559,208.93/117,191.82
  6. Step 6: Final answer
    x = 98,305.15

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1.5x scale

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.