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Finding the Fourth Proportional to 77,991.90, 117,009.45 and 51,747.90

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Solution

The fourth proportional to 77,991.90, 117,009.45 and 51,747.90 is: 77,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.90 : 117,009.45 = 51,747.90 : x
  2. Step 2: Convert to fraction form
    77,991.90/117,009.45 = 51,747.90/x
  3. Step 3: Cross multiply
    77,991.90x = 117,009.45 × 51,747.90
  4. Step 4: Simplify right side
    77,991.90x = 6,054,993,317.66
  5. Step 5: Solve for x
    x = 6,054,993,317.66/77,991.90
  6. Step 6: Final answer
    x = 77,636.18

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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.