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Finding the Fourth Proportional to 214,458.30, 321,687.45 and 81,294.30

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Solution

The fourth proportional to 214,458.30, 321,687.45 and 81,294.30 is: 121,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.30 : 321,687.45 = 81,294.30 : x
  2. Step 2: Convert to fraction form
    214,458.30/321,687.45 = 81,294.30/x
  3. Step 3: Cross multiply
    214,458.30x = 321,687.45 × 81,294.30
  4. Step 4: Simplify right side
    214,458.30x = 26,151,356,066.54
  5. Step 5: Solve for x
    x = 26,151,356,066.54/214,458.30
  6. Step 6: Final answer
    x = 121,941.45

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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.