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Finding the Fourth Proportional to 55,218.60, 82,914.30 and 42,085.80

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Solution

The fourth proportional to 55,218.60, 82,914.30 and 42,085.80 is: 63,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.60 : 82,914.30 = 42,085.80 : x
  2. Step 2: Convert to fraction form
    55,218.60/82,914.30 = 42,085.80/x
  3. Step 3: Cross multiply
    55,218.60x = 82,914.30 × 42,085.80
  4. Step 4: Simplify right side
    55,218.60x = 3,489,514,646.94
  5. Step 5: Solve for x
    x = 3,489,514,646.94/55,218.60
  6. Step 6: Final answer
    x = 63,194.55

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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.