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Finding the Fourth Proportional to 185,654.88, 256,203.84 and 100,771.92

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Solution

The fourth proportional to 185,654.88, 256,203.84 and 100,771.92 is: 139,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,654.88 : 256,203.84 = 100,771.92 : x
  2. Step 2: Convert to fraction form
    185,654.88/256,203.84 = 100,771.92/x
  3. Step 3: Cross multiply
    185,654.88x = 256,203.84 × 100,771.92
  4. Step 4: Simplify right side
    185,654.88x = 25,818,152,868.17
  5. Step 5: Solve for x
    x = 25,818,152,868.17/185,654.88
  6. Step 6: Final answer
    x = 139,065.31

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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.