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Finding the Fourth Proportional to 254,661.92, 381,755.45 and 86,064.36

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Solution

The fourth proportional to 254,661.92, 381,755.45 and 86,064.36 is: 129,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,661.92 : 381,755.45 = 86,064.36 : x
  2. Step 2: Convert to fraction form
    254,661.92/381,755.45 = 86,064.36/x
  3. Step 3: Cross multiply
    254,661.92x = 381,755.45 × 86,064.36
  4. Step 4: Simplify right side
    254,661.92x = 32,855,538,050.44
  5. Step 5: Solve for x
    x = 32,855,538,050.44/254,661.92
  6. Step 6: Final answer
    x = 129,016.30

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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.