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Finding the Fourth Proportional to 214,366.77, 321,553.80 and 81,309.69

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Solution

The fourth proportional to 214,366.77, 321,553.80 and 81,309.69 is: 121,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,366.77 : 321,553.80 = 81,309.69 : x
  2. Step 2: Convert to fraction form
    214,366.77/321,553.80 = 81,309.69/x
  3. Step 3: Cross multiply
    214,366.77x = 321,553.80 × 81,309.69
  4. Step 4: Simplify right side
    214,366.77x = 26,145,439,796.32
  5. Step 5: Solve for x
    x = 26,145,439,796.32/214,366.77
  6. Step 6: Final answer
    x = 121,965.92

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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.