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Finding the Fourth Proportional to 157,838.71, 217,889.13 and 100,556.58

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Solution

The fourth proportional to 157,838.71, 217,889.13 and 100,556.58 is: 138,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838.71 : 217,889.13 = 100,556.58 : x
  2. Step 2: Convert to fraction form
    157,838.71/217,889.13 = 100,556.58/x
  3. Step 3: Cross multiply
    157,838.71x = 217,889.13 × 100,556.58
  4. Step 4: Simplify right side
    157,838.71x = 21,910,186,171.97
  5. Step 5: Solve for x
    x = 21,910,186,171.97/157,838.71
  6. Step 6: Final answer
    x = 138,813.77

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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.