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Finding the Fourth Proportional to 185,780.94, 256,372.29 and 105,207.90

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Solution

The fourth proportional to 185,780.94, 256,372.29 and 105,207.90 is: 145,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.94 : 256,372.29 = 105,207.90 : x
  2. Step 2: Convert to fraction form
    185,780.94/256,372.29 = 105,207.90/x
  3. Step 3: Cross multiply
    185,780.94x = 256,372.29 × 105,207.90
  4. Step 4: Simplify right side
    185,780.94x = 26,972,390,249.09
  5. Step 5: Solve for x
    x = 26,972,390,249.09/185,780.94
  6. Step 6: Final answer
    x = 145,183.84

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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.