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Finding the Fourth Proportional to 42,241, 63,383.36 and 21,464.52

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Solution

The fourth proportional to 42,241, 63,383.36 and 21,464.52 is: 32,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 63,383.36 = 21,464.52 : x
  2. Step 2: Convert to fraction form
    42,241/63,383.36 = 21,464.52/x
  3. Step 3: Cross multiply
    42,241x = 63,383.36 × 21,464.52
  4. Step 4: Simplify right side
    42,241x = 1,360,493,398.39
  5. Step 5: Solve for x
    x = 1,360,493,398.39/42,241
  6. Step 6: Final answer
    x = 32,207.89

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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.