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Finding the Fourth Proportional to 81,939.48, 122,909.22 and 46,854.54

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Solution

The fourth proportional to 81,939.48, 122,909.22 and 46,854.54 is: 70,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,939.48 : 122,909.22 = 46,854.54 : x
  2. Step 2: Convert to fraction form
    81,939.48/122,909.22 = 46,854.54/x
  3. Step 3: Cross multiply
    81,939.48x = 122,909.22 × 46,854.54
  4. Step 4: Simplify right side
    81,939.48x = 5,758,854,964.86
  5. Step 5: Solve for x
    x = 5,758,854,964.86/81,939.48
  6. Step 6: Final answer
    x = 70,281.81

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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.