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Finding the Fourth Proportional to 57,699.84, 86,565.84 and 18,255.84

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Solution

The fourth proportional to 57,699.84, 86,565.84 and 18,255.84 is: 27,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,699.84 : 86,565.84 = 18,255.84 : x
  2. Step 2: Convert to fraction form
    57,699.84/86,565.84 = 18,255.84/x
  3. Step 3: Cross multiply
    57,699.84x = 86,565.84 × 18,255.84
  4. Step 4: Simplify right side
    57,699.84x = 1,580,332,124.51
  5. Step 5: Solve for x
    x = 1,580,332,124.51/57,699.84
  6. Step 6: Final answer
    x = 27,388.85

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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.