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Finding the Fourth Proportional to 65,709.43, 90,719.19 and 42,761.12

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Solution

The fourth proportional to 65,709.43, 90,719.19 and 42,761.12 is: 59,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.43 : 90,719.19 = 42,761.12 : x
  2. Step 2: Convert to fraction form
    65,709.43/90,719.19 = 42,761.12/x
  3. Step 3: Cross multiply
    65,709.43x = 90,719.19 × 42,761.12
  4. Step 4: Simplify right side
    65,709.43x = 3,879,253,716.30
  5. Step 5: Solve for x
    x = 3,879,253,716.30/65,709.43
  6. Step 6: Final answer
    x = 59,036.49

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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.