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Finding the Fourth Proportional to 77,215.72, 115,796.44 and 23,164.28

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Solution

The fourth proportional to 77,215.72, 115,796.44 and 23,164.28 is: 34,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,215.72 : 115,796.44 = 23,164.28 : x
  2. Step 2: Convert to fraction form
    77,215.72/115,796.44 = 23,164.28/x
  3. Step 3: Cross multiply
    77,215.72x = 115,796.44 × 23,164.28
  4. Step 4: Simplify right side
    77,215.72x = 2,682,341,390.74
  5. Step 5: Solve for x
    x = 2,682,341,390.74/77,215.72
  6. Step 6: Final answer
    x = 34,738.28

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1.5x scale

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.