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Finding the Fourth Proportional to 77,976, 107,609.04 and 44,442

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Solution

The fourth proportional to 77,976, 107,609.04 and 44,442 is: 61,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 107,609.04 = 44,442 : x
  2. Step 2: Convert to fraction form
    77,976/107,609.04 = 44,442/x
  3. Step 3: Cross multiply
    77,976x = 107,609.04 × 44,442
  4. Step 4: Simplify right side
    77,976x = 4,782,360,955.68
  5. Step 5: Solve for x
    x = 4,782,360,955.68/77,976
  6. Step 6: Final answer
    x = 61,331.19

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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.