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Finding the Fourth Proportional to 57,679.80, 86,519.70 and 31,435.80

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Solution

The fourth proportional to 57,679.80, 86,519.70 and 31,435.80 is: 47,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,679.80 : 86,519.70 = 31,435.80 : x
  2. Step 2: Convert to fraction form
    57,679.80/86,519.70 = 31,435.80/x
  3. Step 3: Cross multiply
    57,679.80x = 86,519.70 × 31,435.80
  4. Step 4: Simplify right side
    57,679.80x = 2,719,815,985.26
  5. Step 5: Solve for x
    x = 2,719,815,985.26/57,679.80
  6. Step 6: Final answer
    x = 47,153.70

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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.