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Finding the Fourth Proportional to 62,433, 86,157.90 and 40,077

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Solution

The fourth proportional to 62,433, 86,157.90 and 40,077 is: 55,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,433 : 86,157.90 = 40,077 : x
  2. Step 2: Convert to fraction form
    62,433/86,157.90 = 40,077/x
  3. Step 3: Cross multiply
    62,433x = 86,157.90 × 40,077
  4. Step 4: Simplify right side
    62,433x = 3,452,950,158.30
  5. Step 5: Solve for x
    x = 3,452,950,158.30/62,433
  6. Step 6: Final answer
    x = 55,306.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.