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Finding the Fourth Proportional to 77,157, 115,741.98 and 21,753

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Solution

The fourth proportional to 77,157, 115,741.98 and 21,753 is: 32,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157 : 115,741.98 = 21,753 : x
  2. Step 2: Convert to fraction form
    77,157/115,741.98 = 21,753/x
  3. Step 3: Cross multiply
    77,157x = 115,741.98 × 21,753
  4. Step 4: Simplify right side
    77,157x = 2,517,735,290.94
  5. Step 5: Solve for x
    x = 2,517,735,290.94/77,157
  6. Step 6: Final answer
    x = 32,631.33

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Why These Related Problems?

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