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Finding the Fourth Proportional to 214,472.64, 321,585.81 and 81,268.08

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Solution

The fourth proportional to 214,472.64, 321,585.81 and 81,268.08 is: 121,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,472.64 : 321,585.81 = 81,268.08 : x
  2. Step 2: Convert to fraction form
    214,472.64/321,585.81 = 81,268.08/x
  3. Step 3: Cross multiply
    214,472.64x = 321,585.81 × 81,268.08
  4. Step 4: Simplify right side
    214,472.64x = 26,134,661,333.94
  5. Step 5: Solve for x
    x = 26,134,661,333.94/214,472.64
  6. Step 6: Final answer
    x = 121,855.46

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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.