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Finding the Fourth Proportional to 185,083.72, 255,415.64 and 100,200.82

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Solution

The fourth proportional to 185,083.72, 255,415.64 and 100,200.82 is: 138,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,083.72 : 255,415.64 = 100,200.82 : x
  2. Step 2: Convert to fraction form
    185,083.72/255,415.64 = 100,200.82/x
  3. Step 3: Cross multiply
    185,083.72x = 255,415.64 × 100,200.82
  4. Step 4: Simplify right side
    185,083.72x = 25,592,856,568.82
  5. Step 5: Solve for x
    x = 25,592,856,568.82/185,083.72
  6. Step 6: Final answer
    x = 138,277.19

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1.5x scale

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.