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Finding the Fourth Proportional to 215,873.82, 297,907.17 and 120,386.55

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Solution

The fourth proportional to 215,873.82, 297,907.17 and 120,386.55 is: 166,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,873.82 : 297,907.17 = 120,386.55 : x
  2. Step 2: Convert to fraction form
    215,873.82/297,907.17 = 120,386.55/x
  3. Step 3: Cross multiply
    215,873.82x = 297,907.17 × 120,386.55
  4. Step 4: Simplify right side
    215,873.82x = 35,864,016,416.56
  5. Step 5: Solve for x
    x = 35,864,016,416.56/215,873.82
  6. Step 6: Final answer
    x = 166,134.16

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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.