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Finding the Fourth Proportional to 538,104.32, 807,202.89 and 138,741.71

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Solution

The fourth proportional to 538,104.32, 807,202.89 and 138,741.71 is: 208,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,104.32 : 807,202.89 = 138,741.71 : x
  2. Step 2: Convert to fraction form
    538,104.32/807,202.89 = 138,741.71/x
  3. Step 3: Cross multiply
    538,104.32x = 807,202.89 × 138,741.71
  4. Step 4: Simplify right side
    538,104.32x = 111,992,705,239.53
  5. Step 5: Solve for x
    x = 111,992,705,239.53/538,104.32
  6. Step 6: Final answer
    x = 208,124.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.