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Finding the Fourth Proportional to 81,780.90, 122,999.40 and 73,251.60

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Solution

The fourth proportional to 81,780.90, 122,999.40 and 73,251.60 is: 110,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780.90 : 122,999.40 = 73,251.60 : x
  2. Step 2: Convert to fraction form
    81,780.90/122,999.40 = 73,251.60/x
  3. Step 3: Cross multiply
    81,780.90x = 122,999.40 × 73,251.60
  4. Step 4: Simplify right side
    81,780.90x = 9,009,902,849.04
  5. Step 5: Solve for x
    x = 9,009,902,849.04/81,780.90
  6. Step 6: Final answer
    x = 110,171.24

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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.