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Finding the Fourth Proportional to 99,843.25, 137,783.92 and 54,521.32

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Solution

The fourth proportional to 99,843.25, 137,783.92 and 54,521.32 is: 75,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.25 : 137,783.92 = 54,521.32 : x
  2. Step 2: Convert to fraction form
    99,843.25/137,783.92 = 54,521.32/x
  3. Step 3: Cross multiply
    99,843.25x = 137,783.92 × 54,521.32
  4. Step 4: Simplify right side
    99,843.25x = 7,512,161,193.17
  5. Step 5: Solve for x
    x = 7,512,161,193.17/99,843.25
  6. Step 6: Final answer
    x = 75,239.55

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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.