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Finding the Fourth Proportional to 55,458.58, 83,220.81 and 20,422.84

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Solution

The fourth proportional to 55,458.58, 83,220.81 and 20,422.84 is: 30,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,458.58 : 83,220.81 = 20,422.84 : x
  2. Step 2: Convert to fraction form
    55,458.58/83,220.81 = 20,422.84/x
  3. Step 3: Cross multiply
    55,458.58x = 83,220.81 × 20,422.84
  4. Step 4: Simplify right side
    55,458.58x = 1,699,605,287.30
  5. Step 5: Solve for x
    x = 1,699,605,287.30/55,458.58
  6. Step 6: Final answer
    x = 30,646.39

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1.5x scale

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.