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Finding the Fourth Proportional to 55,409.80, 83,090.40 and 22,118.80

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Solution

The fourth proportional to 55,409.80, 83,090.40 and 22,118.80 is: 33,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,409.80 : 83,090.40 = 22,118.80 : x
  2. Step 2: Convert to fraction form
    55,409.80/83,090.40 = 22,118.80/x
  3. Step 3: Cross multiply
    55,409.80x = 83,090.40 × 22,118.80
  4. Step 4: Simplify right side
    55,409.80x = 1,837,859,939.52
  5. Step 5: Solve for x
    x = 1,837,859,939.52/55,409.80
  6. Step 6: Final answer
    x = 33,168.50

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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.