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Finding the Fourth Proportional to 81,474.90, 122,139.45 and 53,408.40

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Solution

The fourth proportional to 81,474.90, 122,139.45 and 53,408.40 is: 80,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474.90 : 122,139.45 = 53,408.40 : x
  2. Step 2: Convert to fraction form
    81,474.90/122,139.45 = 53,408.40/x
  3. Step 3: Cross multiply
    81,474.90x = 122,139.45 × 53,408.40
  4. Step 4: Simplify right side
    81,474.90x = 6,523,272,601.38
  5. Step 5: Solve for x
    x = 6,523,272,601.38/81,474.90
  6. Step 6: Final answer
    x = 80,064.81

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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.