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Finding the Fourth Proportional to 81,354.30, 122,140.80 and 51,902.70

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Solution

The fourth proportional to 81,354.30, 122,140.80 and 51,902.70 is: 77,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,354.30 : 122,140.80 = 51,902.70 : x
  2. Step 2: Convert to fraction form
    81,354.30/122,140.80 = 51,902.70/x
  3. Step 3: Cross multiply
    81,354.30x = 122,140.80 × 51,902.70
  4. Step 4: Simplify right side
    81,354.30x = 6,339,437,300.16
  5. Step 5: Solve for x
    x = 6,339,437,300.16/81,354.30
  6. Step 6: Final answer
    x = 77,923.81

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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.