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Finding the Fourth Proportional to 185,112.72, 255,455.76 and 100,230

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Solution

The fourth proportional to 185,112.72, 255,455.76 and 100,230 is: 138,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,112.72 : 255,455.76 = 100,230 : x
  2. Step 2: Convert to fraction form
    185,112.72/255,455.76 = 100,230/x
  3. Step 3: Cross multiply
    185,112.72x = 255,455.76 × 100,230
  4. Step 4: Simplify right side
    185,112.72x = 25,604,330,824.80
  5. Step 5: Solve for x
    x = 25,604,330,824.80/185,112.72
  6. Step 6: Final answer
    x = 138,317.51

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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.