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Finding the Fourth Proportional to 81,842.69, 122,763.69 and 22,678.19

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Solution

The fourth proportional to 81,842.69, 122,763.69 and 22,678.19 is: 34,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.69 : 122,763.69 = 22,678.19 : x
  2. Step 2: Convert to fraction form
    81,842.69/122,763.69 = 22,678.19/x
  3. Step 3: Cross multiply
    81,842.69x = 122,763.69 × 22,678.19
  4. Step 4: Simplify right side
    81,842.69x = 2,784,057,559.71
  5. Step 5: Solve for x
    x = 2,784,057,559.71/81,842.69
  6. Step 6: Final answer
    x = 34,017.18

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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.