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Finding the Fourth Proportional to 205,494.88, 308,242.32 and 57,750.88

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Solution

The fourth proportional to 205,494.88, 308,242.32 and 57,750.88 is: 86,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.88 : 308,242.32 = 57,750.88 : x
  2. Step 2: Convert to fraction form
    205,494.88/308,242.32 = 57,750.88/x
  3. Step 3: Cross multiply
    205,494.88x = 308,242.32 × 57,750.88
  4. Step 4: Simplify right side
    205,494.88x = 17,801,263,403.28
  5. Step 5: Solve for x
    x = 17,801,263,403.28/205,494.88
  6. Step 6: Final answer
    x = 86,626.31

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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.