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Finding the Fourth Proportional to 42,383.12, 63,505.56 and 21,578

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Solution

The fourth proportional to 42,383.12, 63,505.56 and 21,578 is: 32,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,383.12 : 63,505.56 = 21,578 : x
  2. Step 2: Convert to fraction form
    42,383.12/63,505.56 = 21,578/x
  3. Step 3: Cross multiply
    42,383.12x = 63,505.56 × 21,578
  4. Step 4: Simplify right side
    42,383.12x = 1,370,322,973.68
  5. Step 5: Solve for x
    x = 1,370,322,973.68/42,383.12
  6. Step 6: Final answer
    x = 32,331.81

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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.