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Finding the Fourth Proportional to 185,510.82, 255,720.87 and 113,757.78

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Solution

The fourth proportional to 185,510.82, 255,720.87 and 113,757.78 is: 156,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,510.82 : 255,720.87 = 113,757.78 : x
  2. Step 2: Convert to fraction form
    185,510.82/255,720.87 = 113,757.78/x
  3. Step 3: Cross multiply
    185,510.82x = 255,720.87 × 113,757.78
  4. Step 4: Simplify right side
    185,510.82x = 29,090,238,470.87
  5. Step 5: Solve for x
    x = 29,090,238,470.87/185,510.82
  6. Step 6: Final answer
    x = 156,811.55

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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.