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Finding the Fourth Proportional to 77,419.93, 116,102.01 and 26,805.21

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Solution

The fourth proportional to 77,419.93, 116,102.01 and 26,805.21 is: 40,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.93 : 116,102.01 = 26,805.21 : x
  2. Step 2: Convert to fraction form
    77,419.93/116,102.01 = 26,805.21/x
  3. Step 3: Cross multiply
    77,419.93x = 116,102.01 × 26,805.21
  4. Step 4: Simplify right side
    77,419.93x = 3,112,138,625.45
  5. Step 5: Solve for x
    x = 3,112,138,625.45/77,419.93
  6. Step 6: Final answer
    x = 40,198.16

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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.