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Finding the Fourth Proportional to 215,296, 297,108.48 and 121,088

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Solution

The fourth proportional to 215,296, 297,108.48 and 121,088 is: 167,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,296 : 297,108.48 = 121,088 : x
  2. Step 2: Convert to fraction form
    215,296/297,108.48 = 121,088/x
  3. Step 3: Cross multiply
    215,296x = 297,108.48 × 121,088
  4. Step 4: Simplify right side
    215,296x = 35,976,271,626.24
  5. Step 5: Solve for x
    x = 35,976,271,626.24/215,296
  6. Step 6: Final answer
    x = 167,101.44

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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.