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Finding the Fourth Proportional to 538,093.76, 807,187.08 and 138,731.15

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Solution

The fourth proportional to 538,093.76, 807,187.08 and 138,731.15 is: 208,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,093.76 : 807,187.08 = 138,731.15 : x
  2. Step 2: Convert to fraction form
    538,093.76/807,187.08 = 138,731.15/x
  3. Step 3: Cross multiply
    538,093.76x = 807,187.08 × 138,731.15
  4. Step 4: Simplify right side
    538,093.76x = 111,981,987,837.61
  5. Step 5: Solve for x
    x = 111,981,987,837.61/538,093.76
  6. Step 6: Final answer
    x = 208,108.69

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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.