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Finding the Fourth Proportional to 56,501.25, 77,974.16 and 31,350.75

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Solution

The fourth proportional to 56,501.25, 77,974.16 and 31,350.75 is: 43,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501.25 : 77,974.16 = 31,350.75 : x
  2. Step 2: Convert to fraction form
    56,501.25/77,974.16 = 31,350.75/x
  3. Step 3: Cross multiply
    56,501.25x = 77,974.16 × 31,350.75
  4. Step 4: Simplify right side
    56,501.25x = 2,444,548,239.87
  5. Step 5: Solve for x
    x = 2,444,548,239.87/56,501.25
  6. Step 6: Final answer
    x = 43,265.38

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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.