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Finding the Fourth Proportional to 77,168.08, 115,754.04 and 21,762

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Solution

The fourth proportional to 77,168.08, 115,754.04 and 21,762 is: 32,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168.08 : 115,754.04 = 21,762 : x
  2. Step 2: Convert to fraction form
    77,168.08/115,754.04 = 21,762/x
  3. Step 3: Cross multiply
    77,168.08x = 115,754.04 × 21,762
  4. Step 4: Simplify right side
    77,168.08x = 2,519,039,418.48
  5. Step 5: Solve for x
    x = 2,519,039,418.48/77,168.08
  6. Step 6: Final answer
    x = 32,643.54

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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.