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Finding the Fourth Proportional to 57,780.80, 86,679.30 and 22,712.30

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Solution

The fourth proportional to 57,780.80, 86,679.30 and 22,712.30 is: 34,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.80 : 86,679.30 = 22,712.30 : x
  2. Step 2: Convert to fraction form
    57,780.80/86,679.30 = 22,712.30/x
  3. Step 3: Cross multiply
    57,780.80x = 86,679.30 × 22,712.30
  4. Step 4: Simplify right side
    57,780.80x = 1,968,686,265.39
  5. Step 5: Solve for x
    x = 1,968,686,265.39/57,780.80
  6. Step 6: Final answer
    x = 34,071.63

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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.