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Finding the Fourth Proportional to 57,870, 86,773.73 and 31,230.32

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Solution

The fourth proportional to 57,870, 86,773.73 and 31,230.32 is: 46,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870 : 86,773.73 = 31,230.32 : x
  2. Step 2: Convert to fraction form
    57,870/86,773.73 = 31,230.32/x
  3. Step 3: Cross multiply
    57,870x = 86,773.73 × 31,230.32
  4. Step 4: Simplify right side
    57,870x = 2,709,970,765.47
  5. Step 5: Solve for x
    x = 2,709,970,765.47/57,870
  6. Step 6: Final answer
    x = 46,828.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.