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Finding the Fourth Proportional to 57,693.16, 86,619.39 and 39,879.91

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Solution

The fourth proportional to 57,693.16, 86,619.39 and 39,879.91 is: 59,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693.16 : 86,619.39 = 39,879.91 : x
  2. Step 2: Convert to fraction form
    57,693.16/86,619.39 = 39,879.91/x
  3. Step 3: Cross multiply
    57,693.16x = 86,619.39 × 39,879.91
  4. Step 4: Simplify right side
    57,693.16x = 3,454,373,477.45
  5. Step 5: Solve for x
    x = 3,454,373,477.45/57,693.16
  6. Step 6: Final answer
    x = 59,874.92

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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.