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Finding the Fourth Proportional to 55,831, 77,046.82 and 30,680.68

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Solution

The fourth proportional to 55,831, 77,046.82 and 30,680.68 is: 42,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,831 : 77,046.82 = 30,680.68 : x
  2. Step 2: Convert to fraction form
    55,831/77,046.82 = 30,680.68/x
  3. Step 3: Cross multiply
    55,831x = 77,046.82 × 30,680.68
  4. Step 4: Simplify right side
    55,831x = 2,363,848,829.44
  5. Step 5: Solve for x
    x = 2,363,848,829.44/55,831
  6. Step 6: Final answer
    x = 42,339.36

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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.