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Finding the Fourth Proportional to 75,322.57, 103,954.37 and 43,491.40

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Solution

The fourth proportional to 75,322.57, 103,954.37 and 43,491.40 is: 60,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.57 : 103,954.37 = 43,491.40 : x
  2. Step 2: Convert to fraction form
    75,322.57/103,954.37 = 43,491.40/x
  3. Step 3: Cross multiply
    75,322.57x = 103,954.37 × 43,491.40
  4. Step 4: Simplify right side
    75,322.57x = 4,521,121,087.42
  5. Step 5: Solve for x
    x = 4,521,121,087.42/75,322.57
  6. Step 6: Final answer
    x = 60,023.46

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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.