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Finding the Fourth Proportional to 57,663.32, 86,493.88 and 20,213

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Solution

The fourth proportional to 57,663.32, 86,493.88 and 20,213 is: 30,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663.32 : 86,493.88 = 20,213 : x
  2. Step 2: Convert to fraction form
    57,663.32/86,493.88 = 20,213/x
  3. Step 3: Cross multiply
    57,663.32x = 86,493.88 × 20,213
  4. Step 4: Simplify right side
    57,663.32x = 1,748,300,796.44
  5. Step 5: Solve for x
    x = 1,748,300,796.44/57,663.32
  6. Step 6: Final answer
    x = 30,319.11

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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.