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Finding the Fourth Proportional to 77,997, 117,007.68 and 25,394.10

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Solution

The fourth proportional to 77,997, 117,007.68 and 25,394.10 is: 38,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997 : 117,007.68 = 25,394.10 : x
  2. Step 2: Convert to fraction form
    77,997/117,007.68 = 25,394.10/x
  3. Step 3: Cross multiply
    77,997x = 117,007.68 × 25,394.10
  4. Step 4: Simplify right side
    77,997x = 2,971,304,726.69
  5. Step 5: Solve for x
    x = 2,971,304,726.69/77,997
  6. Step 6: Final answer
    x = 38,095.12

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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.