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Finding the Fourth Proportional to 221,714.04, 305,964.90 and 121,112.04

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Solution

The fourth proportional to 221,714.04, 305,964.90 and 121,112.04 is: 167,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,714.04 : 305,964.90 = 121,112.04 : x
  2. Step 2: Convert to fraction form
    221,714.04/305,964.90 = 121,112.04/x
  3. Step 3: Cross multiply
    221,714.04x = 305,964.90 × 121,112.04
  4. Step 4: Simplify right side
    221,714.04x = 37,056,033,207.40
  5. Step 5: Solve for x
    x = 37,056,033,207.40/221,714.04
  6. Step 6: Final answer
    x = 167,134.36

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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.