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Finding the Fourth Proportional to 215,302, 297,116.76 and 121,094

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Solution

The fourth proportional to 215,302, 297,116.76 and 121,094 is: 167,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,302 : 297,116.76 = 121,094 : x
  2. Step 2: Convert to fraction form
    215,302/297,116.76 = 121,094/x
  3. Step 3: Cross multiply
    215,302x = 297,116.76 × 121,094
  4. Step 4: Simplify right side
    215,302x = 35,979,056,935.44
  5. Step 5: Solve for x
    x = 35,979,056,935.44/215,302
  6. Step 6: Final answer
    x = 167,109.72

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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.