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Finding the Fourth Proportional to 185,977.21, 278,860.77 and 170,107.78

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Solution

The fourth proportional to 185,977.21, 278,860.77 and 170,107.78 is: 255,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,977.21 : 278,860.77 = 170,107.78 : x
  2. Step 2: Convert to fraction form
    185,977.21/278,860.77 = 170,107.78/x
  3. Step 3: Cross multiply
    185,977.21x = 278,860.77 × 170,107.78
  4. Step 4: Simplify right side
    185,977.21x = 47,436,386,513.79
  5. Step 5: Solve for x
    x = 47,436,386,513.79/185,977.21
  6. Step 6: Final answer
    x = 255,065.59

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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.