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Finding the Fourth Proportional to 56,086, 77,399.64 and 36,248.56

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Solution

The fourth proportional to 56,086, 77,399.64 and 36,248.56 is: 50,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,086 : 77,399.64 = 36,248.56 : x
  2. Step 2: Convert to fraction form
    56,086/77,399.64 = 36,248.56/x
  3. Step 3: Cross multiply
    56,086x = 77,399.64 × 36,248.56
  4. Step 4: Simplify right side
    56,086x = 2,805,625,494.52
  5. Step 5: Solve for x
    x = 2,805,625,494.52/56,086
  6. Step 6: Final answer
    x = 50,023.63

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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.