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Finding the Fourth Proportional to 57,057.70, 78,739.16 and 31,907.20

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Solution

The fourth proportional to 57,057.70, 78,739.16 and 31,907.20 is: 44,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.70 : 78,739.16 = 31,907.20 : x
  2. Step 2: Convert to fraction form
    57,057.70/78,739.16 = 31,907.20/x
  3. Step 3: Cross multiply
    57,057.70x = 78,739.16 × 31,907.20
  4. Step 4: Simplify right side
    57,057.70x = 2,512,346,125.95
  5. Step 5: Solve for x
    x = 2,512,346,125.95/57,057.70
  6. Step 6: Final answer
    x = 44,031.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.