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Finding the Fourth Proportional to 75,548.07, 113,771.78 and 65,805

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Solution

The fourth proportional to 75,548.07, 113,771.78 and 65,805 is: 99,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,548.07 : 113,771.78 = 65,805 : x
  2. Step 2: Convert to fraction form
    75,548.07/113,771.78 = 65,805/x
  3. Step 3: Cross multiply
    75,548.07x = 113,771.78 × 65,805
  4. Step 4: Simplify right side
    75,548.07x = 7,486,751,653.88
  5. Step 5: Solve for x
    x = 7,486,751,653.88/75,548.07
  6. Step 6: Final answer
    x = 99,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.