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Finding the Fourth Proportional to 101,892.20, 152,853.66 and 31,777

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Solution

The fourth proportional to 101,892.20, 152,853.66 and 31,777 is: 47,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,892.20 : 152,853.66 = 31,777 : x
  2. Step 2: Convert to fraction form
    101,892.20/152,853.66 = 31,777/x
  3. Step 3: Cross multiply
    101,892.20x = 152,853.66 × 31,777
  4. Step 4: Simplify right side
    101,892.20x = 4,857,230,753.82
  5. Step 5: Solve for x
    x = 4,857,230,753.82/101,892.20
  6. Step 6: Final answer
    x = 47,670.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.