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Finding the Fourth Proportional to 107,842.80, 161,764.20 and 68,282.40

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Solution

The fourth proportional to 107,842.80, 161,764.20 and 68,282.40 is: 102,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,842.80 : 161,764.20 = 68,282.40 : x
  2. Step 2: Convert to fraction form
    107,842.80/161,764.20 = 68,282.40/x
  3. Step 3: Cross multiply
    107,842.80x = 161,764.20 × 68,282.40
  4. Step 4: Simplify right side
    107,842.80x = 11,045,647,810.08
  5. Step 5: Solve for x
    x = 11,045,647,810.08/107,842.80
  6. Step 6: Final answer
    x = 102,423.60

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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.