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Finding the Fourth Proportional to 77,569.62, 107,057.65 and 47,372.31

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Solution

The fourth proportional to 77,569.62, 107,057.65 and 47,372.31 is: 65,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,569.62 : 107,057.65 = 47,372.31 : x
  2. Step 2: Convert to fraction form
    77,569.62/107,057.65 = 47,372.31/x
  3. Step 3: Cross multiply
    77,569.62x = 107,057.65 × 47,372.31
  4. Step 4: Simplify right side
    77,569.62x = 5,071,568,154.06
  5. Step 5: Solve for x
    x = 5,071,568,154.06/77,569.62
  6. Step 6: Final answer
    x = 65,380.86

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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.