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Finding the Fourth Proportional to 57,605.42, 86,395.14 and 20,669.42

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Solution

The fourth proportional to 57,605.42, 86,395.14 and 20,669.42 is: 30,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605.42 : 86,395.14 = 20,669.42 : x
  2. Step 2: Convert to fraction form
    57,605.42/86,395.14 = 20,669.42/x
  3. Step 3: Cross multiply
    57,605.42x = 86,395.14 × 20,669.42
  4. Step 4: Simplify right side
    57,605.42x = 1,785,737,002.64
  5. Step 5: Solve for x
    x = 1,785,737,002.64/57,605.42
  6. Step 6: Final answer
    x = 30,999.46

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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.