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Finding the Fourth Proportional to 57,762.28, 86,605.02 and 20,821.48

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Solution

The fourth proportional to 57,762.28, 86,605.02 and 20,821.48 is: 31,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.28 : 86,605.02 = 20,821.48 : x
  2. Step 2: Convert to fraction form
    57,762.28/86,605.02 = 20,821.48/x
  3. Step 3: Cross multiply
    57,762.28x = 86,605.02 × 20,821.48
  4. Step 4: Simplify right side
    57,762.28x = 1,803,244,691.83
  5. Step 5: Solve for x
    x = 1,803,244,691.83/57,762.28
  6. Step 6: Final answer
    x = 31,218.38

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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.