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Finding the Fourth Proportional to 82,001.60, 122,872.80 and 68,782.40

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Solution

The fourth proportional to 82,001.60, 122,872.80 and 68,782.40 is: 103,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.60 : 122,872.80 = 68,782.40 : x
  2. Step 2: Convert to fraction form
    82,001.60/122,872.80 = 68,782.40/x
  3. Step 3: Cross multiply
    82,001.60x = 122,872.80 × 68,782.40
  4. Step 4: Simplify right side
    82,001.60x = 8,451,486,078.72
  5. Step 5: Solve for x
    x = 8,451,486,078.72/82,001.60
  6. Step 6: Final answer
    x = 103,064.89

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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.