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Finding the Fourth Proportional to 185,369.71, 278,076.44 and 138,917.83

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Solution

The fourth proportional to 185,369.71, 278,076.44 and 138,917.83 is: 208,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,369.71 : 278,076.44 = 138,917.83 : x
  2. Step 2: Convert to fraction form
    185,369.71/278,076.44 = 138,917.83/x
  3. Step 3: Cross multiply
    185,369.71x = 278,076.44 × 138,917.83
  4. Step 4: Simplify right side
    185,369.71x = 38,629,775,618.93
  5. Step 5: Solve for x
    x = 38,629,775,618.93/185,369.71
  6. Step 6: Final answer
    x = 208,393.14

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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.