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Finding the Fourth Proportional to 163,896, 226,162.69 and 100,221.49

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Solution

The fourth proportional to 163,896, 226,162.69 and 100,221.49 is: 138,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,896 : 226,162.69 = 100,221.49 : x
  2. Step 2: Convert to fraction form
    163,896/226,162.69 = 100,221.49/x
  3. Step 3: Cross multiply
    163,896x = 226,162.69 × 100,221.49
  4. Step 4: Simplify right side
    163,896x = 22,666,361,774.21
  5. Step 5: Solve for x
    x = 22,666,361,774.21/163,896
  6. Step 6: Final answer
    x = 138,297.22

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1.5x scale

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.