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Finding the Fourth Proportional to 75,642.96, 104,378.31 and 43,805.64

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Solution

The fourth proportional to 75,642.96, 104,378.31 and 43,805.64 is: 60,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.96 : 104,378.31 = 43,805.64 : x
  2. Step 2: Convert to fraction form
    75,642.96/104,378.31 = 43,805.64/x
  3. Step 3: Cross multiply
    75,642.96x = 104,378.31 × 43,805.64
  4. Step 4: Simplify right side
    75,642.96x = 4,572,358,671.67
  5. Step 5: Solve for x
    x = 4,572,358,671.67/75,642.96
  6. Step 6: Final answer
    x = 60,446.59

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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.