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Finding the Fourth Proportional to 185,277.78, 255,682.71 and 100,394.64

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Solution

The fourth proportional to 185,277.78, 255,682.71 and 100,394.64 is: 138,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277.78 : 255,682.71 = 100,394.64 : x
  2. Step 2: Convert to fraction form
    185,277.78/255,682.71 = 100,394.64/x
  3. Step 3: Cross multiply
    185,277.78x = 255,682.71 × 100,394.64
  4. Step 4: Simplify right side
    185,277.78x = 25,669,173,624.67
  5. Step 5: Solve for x
    x = 25,669,173,624.67/185,277.78
  6. Step 6: Final answer
    x = 138,544.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.