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Finding the Fourth Proportional to 100,183, 138,256.86 and 55,471

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Solution

The fourth proportional to 100,183, 138,256.86 and 55,471 is: 76,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,183 : 138,256.86 = 55,471 : x
  2. Step 2: Convert to fraction form
    100,183/138,256.86 = 55,471/x
  3. Step 3: Cross multiply
    100,183x = 138,256.86 × 55,471
  4. Step 4: Simplify right side
    100,183x = 7,669,246,281.06
  5. Step 5: Solve for x
    x = 7,669,246,281.06/100,183
  6. Step 6: Final answer
    x = 76,552.37

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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.