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Finding the Fourth Proportional to 185,395.82, 255,827.31 and 113,778.86

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Solution

The fourth proportional to 185,395.82, 255,827.31 and 113,778.86 is: 157,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,395.82 : 255,827.31 = 113,778.86 : x
  2. Step 2: Convert to fraction form
    185,395.82/255,827.31 = 113,778.86/x
  3. Step 3: Cross multiply
    185,395.82x = 255,827.31 × 113,778.86
  4. Step 4: Simplify right side
    185,395.82x = 29,107,739,688.67
  5. Step 5: Solve for x
    x = 29,107,739,688.67/185,395.82
  6. Step 6: Final answer
    x = 157,003.21

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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.