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Finding the Fourth Proportional to 223,886.70, 308,963.16 and 121,910.58

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Solution

The fourth proportional to 223,886.70, 308,963.16 and 121,910.58 is: 168,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,886.70 : 308,963.16 = 121,910.58 : x
  2. Step 2: Convert to fraction form
    223,886.70/308,963.16 = 121,910.58/x
  3. Step 3: Cross multiply
    223,886.70x = 308,963.16 × 121,910.58
  4. Step 4: Simplify right side
    223,886.70x = 37,665,878,034.23
  5. Step 5: Solve for x
    x = 37,665,878,034.23/223,886.70
  6. Step 6: Final answer
    x = 168,236.34

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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.