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Finding the Fourth Proportional to 206,488.32, 285,054.18 and 138,480.60

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Solution

The fourth proportional to 206,488.32, 285,054.18 and 138,480.60 is: 191,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.32 : 285,054.18 = 138,480.60 : x
  2. Step 2: Convert to fraction form
    206,488.32/285,054.18 = 138,480.60/x
  3. Step 3: Cross multiply
    206,488.32x = 285,054.18 × 138,480.60
  4. Step 4: Simplify right side
    206,488.32x = 39,474,473,878.91
  5. Step 5: Solve for x
    x = 39,474,473,878.91/206,488.32
  6. Step 6: Final answer
    x = 191,170.49

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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.