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Finding the Fourth Proportional to 169,524.52, 254,288.06 and 78,331.48

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Solution

The fourth proportional to 169,524.52, 254,288.06 and 78,331.48 is: 117,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,524.52 : 254,288.06 = 78,331.48 : x
  2. Step 2: Convert to fraction form
    169,524.52/254,288.06 = 78,331.48/x
  3. Step 3: Cross multiply
    169,524.52x = 254,288.06 × 78,331.48
  4. Step 4: Simplify right side
    169,524.52x = 19,918,760,086.13
  5. Step 5: Solve for x
    x = 19,918,760,086.13/169,524.52
  6. Step 6: Final answer
    x = 117,497.81

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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.