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Finding the Fourth Proportional to 117,093.31, 161,527.90 and 71,781.91

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Solution

The fourth proportional to 117,093.31, 161,527.90 and 71,781.91 is: 99,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,093.31 : 161,527.90 = 71,781.91 : x
  2. Step 2: Convert to fraction form
    117,093.31/161,527.90 = 71,781.91/x
  3. Step 3: Cross multiply
    117,093.31x = 161,527.90 × 71,781.91
  4. Step 4: Simplify right side
    117,093.31x = 11,594,781,180.29
  5. Step 5: Solve for x
    x = 11,594,781,180.29/117,093.31
  6. Step 6: Final answer
    x = 99,021.72

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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.