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Finding the Fourth Proportional to 185,578.32, 278,507.42 and 135,786.87

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Solution

The fourth proportional to 185,578.32, 278,507.42 and 135,786.87 is: 203,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,578.32 : 278,507.42 = 135,786.87 : x
  2. Step 2: Convert to fraction form
    185,578.32/278,507.42 = 135,786.87/x
  3. Step 3: Cross multiply
    185,578.32x = 278,507.42 × 135,786.87
  4. Step 4: Simplify right side
    185,578.32x = 37,817,650,833.58
  5. Step 5: Solve for x
    x = 37,817,650,833.58/185,578.32
  6. Step 6: Final answer
    x = 203,782.70

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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.