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Finding the Fourth Proportional to 82,003.60, 122,875.80 and 68,784.40

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Solution

The fourth proportional to 82,003.60, 122,875.80 and 68,784.40 is: 103,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.60 : 122,875.80 = 68,784.40 : x
  2. Step 2: Convert to fraction form
    82,003.60/122,875.80 = 68,784.40/x
  3. Step 3: Cross multiply
    82,003.60x = 122,875.80 × 68,784.40
  4. Step 4: Simplify right side
    82,003.60x = 8,451,938,177.52
  5. Step 5: Solve for x
    x = 8,451,938,177.52/82,003.60
  6. Step 6: Final answer
    x = 103,067.89

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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.