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Finding the Fourth Proportional to 214,266.60, 321,421.77 and 74,007

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Solution

The fourth proportional to 214,266.60, 321,421.77 and 74,007 is: 111,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,266.60 : 321,421.77 = 74,007 : x
  2. Step 2: Convert to fraction form
    214,266.60/321,421.77 = 74,007/x
  3. Step 3: Cross multiply
    214,266.60x = 321,421.77 × 74,007
  4. Step 4: Simplify right side
    214,266.60x = 23,787,460,932.39
  5. Step 5: Solve for x
    x = 23,787,460,932.39/214,266.60
  6. Step 6: Final answer
    x = 111,018.05

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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.