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Finding the Fourth Proportional to 138,990.59, 191,805.62 and 77,736.14

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Solution

The fourth proportional to 138,990.59, 191,805.62 and 77,736.14 is: 107,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,990.59 : 191,805.62 = 77,736.14 : x
  2. Step 2: Convert to fraction form
    138,990.59/191,805.62 = 77,736.14/x
  3. Step 3: Cross multiply
    138,990.59x = 191,805.62 × 77,736.14
  4. Step 4: Simplify right side
    138,990.59x = 14,910,227,181.40
  5. Step 5: Solve for x
    x = 14,910,227,181.40/138,990.59
  6. Step 6: Final answer
    x = 107,275.09

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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.