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Finding the Fourth Proportional to 81,982.60, 122,973.90 and 78,526.60

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Solution

The fourth proportional to 81,982.60, 122,973.90 and 78,526.60 is: 117,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982.60 : 122,973.90 = 78,526.60 : x
  2. Step 2: Convert to fraction form
    81,982.60/122,973.90 = 78,526.60/x
  3. Step 3: Cross multiply
    81,982.60x = 122,973.90 × 78,526.60
  4. Step 4: Simplify right side
    81,982.60x = 9,656,722,255.74
  5. Step 5: Solve for x
    x = 9,656,722,255.74/81,982.60
  6. Step 6: Final answer
    x = 117,789.90

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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.