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Finding the Fourth Proportional to 75,313.22, 112,791.69 and 65,398.64

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Solution

The fourth proportional to 75,313.22, 112,791.69 and 65,398.64 is: 97,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.22 : 112,791.69 = 65,398.64 : x
  2. Step 2: Convert to fraction form
    75,313.22/112,791.69 = 65,398.64/x
  3. Step 3: Cross multiply
    75,313.22x = 112,791.69 × 65,398.64
  4. Step 4: Simplify right side
    75,313.22x = 7,376,422,565.34
  5. Step 5: Solve for x
    x = 7,376,422,565.34/75,313.22
  6. Step 6: Final answer
    x = 97,943.27

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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.