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Finding the Fourth Proportional to 57,499.80, 86,222.38 and 20,055.32

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Solution

The fourth proportional to 57,499.80, 86,222.38 and 20,055.32 is: 30,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,499.80 : 86,222.38 = 20,055.32 : x
  2. Step 2: Convert to fraction form
    57,499.80/86,222.38 = 20,055.32/x
  3. Step 3: Cross multiply
    57,499.80x = 86,222.38 × 20,055.32
  4. Step 4: Simplify right side
    57,499.80x = 1,729,217,422.06
  5. Step 5: Solve for x
    x = 1,729,217,422.06/57,499.80
  6. Step 6: Final answer
    x = 30,073.45

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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.