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Finding the Fourth Proportional to 57,057.69, 78,739.15 and 31,907.19

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Solution

The fourth proportional to 57,057.69, 78,739.15 and 31,907.19 is: 44,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.69 : 78,739.15 = 31,907.19 : x
  2. Step 2: Convert to fraction form
    57,057.69/78,739.15 = 31,907.19/x
  3. Step 3: Cross multiply
    57,057.69x = 78,739.15 × 31,907.19
  4. Step 4: Simplify right side
    57,057.69x = 2,512,345,019.49
  5. Step 5: Solve for x
    x = 2,512,345,019.49/57,057.69
  6. Step 6: Final answer
    x = 44,031.66

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1.5x scale

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.