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Finding the Fourth Proportional to 58,722.87, 81,037.77 and 31,865.38

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Solution

The fourth proportional to 58,722.87, 81,037.77 and 31,865.38 is: 43,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,722.87 : 81,037.77 = 31,865.38 : x
  2. Step 2: Convert to fraction form
    58,722.87/81,037.77 = 31,865.38/x
  3. Step 3: Cross multiply
    58,722.87x = 81,037.77 × 31,865.38
  4. Step 4: Simplify right side
    58,722.87x = 2,582,299,132.81
  5. Step 5: Solve for x
    x = 2,582,299,132.81/58,722.87
  6. Step 6: Final answer
    x = 43,974.33

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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.