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Finding the Fourth Proportional to 214,644.68, 321,967 and 74,403.28

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Solution

The fourth proportional to 214,644.68, 321,967 and 74,403.28 is: 111,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,644.68 : 321,967 = 74,403.28 : x
  2. Step 2: Convert to fraction form
    214,644.68/321,967 = 74,403.28/x
  3. Step 3: Cross multiply
    214,644.68x = 321,967 × 74,403.28
  4. Step 4: Simplify right side
    214,644.68x = 23,955,400,851.76
  5. Step 5: Solve for x
    x = 23,955,400,851.76/214,644.68
  6. Step 6: Final answer
    x = 111,604.91

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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.