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Finding the Fourth Proportional to 214,891.64, 322,401.86 and 86,741.95

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Solution

The fourth proportional to 214,891.64, 322,401.86 and 86,741.95 is: 130,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.64 : 322,401.86 = 86,741.95 : x
  2. Step 2: Convert to fraction form
    214,891.64/322,401.86 = 86,741.95/x
  3. Step 3: Cross multiply
    214,891.64x = 322,401.86 × 86,741.95
  4. Step 4: Simplify right side
    214,891.64x = 27,965,763,974.31
  5. Step 5: Solve for x
    x = 27,965,763,974.31/214,891.64
  6. Step 6: Final answer
    x = 130,138.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.