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Finding the Fourth Proportional to 56,707.70, 78,256 and 31,213.52

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Solution

The fourth proportional to 56,707.70, 78,256 and 31,213.52 is: 43,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,707.70 : 78,256 = 31,213.52 : x
  2. Step 2: Convert to fraction form
    56,707.70/78,256 = 31,213.52/x
  3. Step 3: Cross multiply
    56,707.70x = 78,256 × 31,213.52
  4. Step 4: Simplify right side
    56,707.70x = 2,442,645,221.12
  5. Step 5: Solve for x
    x = 2,442,645,221.12/56,707.70
  6. Step 6: Final answer
    x = 43,074.31

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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.