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Finding the Fourth Proportional to 77,162.56, 115,744.12 and 27,215.52

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Solution

The fourth proportional to 77,162.56, 115,744.12 and 27,215.52 is: 40,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162.56 : 115,744.12 = 27,215.52 : x
  2. Step 2: Convert to fraction form
    77,162.56/115,744.12 = 27,215.52/x
  3. Step 3: Cross multiply
    77,162.56x = 115,744.12 × 27,215.52
  4. Step 4: Simplify right side
    77,162.56x = 3,150,036,412.74
  5. Step 5: Solve for x
    x = 3,150,036,412.74/77,162.56
  6. Step 6: Final answer
    x = 40,823.38

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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.