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Finding the Fourth Proportional to 214,937.76, 322,406.64 and 81,786.72

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Solution

The fourth proportional to 214,937.76, 322,406.64 and 81,786.72 is: 122,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937.76 : 322,406.64 = 81,786.72 : x
  2. Step 2: Convert to fraction form
    214,937.76/322,406.64 = 81,786.72/x
  3. Step 3: Cross multiply
    214,937.76x = 322,406.64 × 81,786.72
  4. Step 4: Simplify right side
    214,937.76x = 26,368,581,591.82
  5. Step 5: Solve for x
    x = 26,368,581,591.82/214,937.76
  6. Step 6: Final answer
    x = 122,680.08

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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.