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Finding the Fourth Proportional to 81,853.61, 122,810.38 and 34,480.55

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Solution

The fourth proportional to 81,853.61, 122,810.38 and 34,480.55 is: 51,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.61 : 122,810.38 = 34,480.55 : x
  2. Step 2: Convert to fraction form
    81,853.61/122,810.38 = 34,480.55/x
  3. Step 3: Cross multiply
    81,853.61x = 122,810.38 × 34,480.55
  4. Step 4: Simplify right side
    81,853.61x = 4,234,569,668.93
  5. Step 5: Solve for x
    x = 4,234,569,668.93/81,853.61
  6. Step 6: Final answer
    x = 51,733.45

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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.