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Finding the Fourth Proportional to 81,805.69, 122,669.25 and 48,530.08

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Solution

The fourth proportional to 81,805.69, 122,669.25 and 48,530.08 is: 72,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.69 : 122,669.25 = 48,530.08 : x
  2. Step 2: Convert to fraction form
    81,805.69/122,669.25 = 48,530.08/x
  3. Step 3: Cross multiply
    81,805.69x = 122,669.25 × 48,530.08
  4. Step 4: Simplify right side
    81,805.69x = 5,953,148,516.04
  5. Step 5: Solve for x
    x = 5,953,148,516.04/81,805.69
  6. Step 6: Final answer
    x = 72,771.81

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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.