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Finding the Fourth Proportional to 163,634.78, 225,833.10 and 100,014.96

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Solution

The fourth proportional to 163,634.78, 225,833.10 and 100,014.96 is: 138,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,634.78 : 225,833.10 = 100,014.96 : x
  2. Step 2: Convert to fraction form
    163,634.78/225,833.10 = 100,014.96/x
  3. Step 3: Cross multiply
    163,634.78x = 225,833.10 × 100,014.96
  4. Step 4: Simplify right side
    163,634.78x = 22,586,688,463.18
  5. Step 5: Solve for x
    x = 22,586,688,463.18/163,634.78
  6. Step 6: Final answer
    x = 138,031.10

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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.