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Finding the Fourth Proportional to 75,282.82, 103,629.55 and 65,069.20

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Solution

The fourth proportional to 75,282.82, 103,629.55 and 65,069.20 is: 89,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282.82 : 103,629.55 = 65,069.20 : x
  2. Step 2: Convert to fraction form
    75,282.82/103,629.55 = 65,069.20/x
  3. Step 3: Cross multiply
    75,282.82x = 103,629.55 × 65,069.20
  4. Step 4: Simplify right side
    75,282.82x = 6,743,091,914.86
  5. Step 5: Solve for x
    x = 6,743,091,914.86/75,282.82
  6. Step 6: Final answer
    x = 89,570.13

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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.