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Finding the Fourth Proportional to 77,067.68, 106,321.92 and 61,088

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Solution

The fourth proportional to 77,067.68, 106,321.92 and 61,088 is: 84,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,067.68 : 106,321.92 = 61,088 : x
  2. Step 2: Convert to fraction form
    77,067.68/106,321.92 = 61,088/x
  3. Step 3: Cross multiply
    77,067.68x = 106,321.92 × 61,088
  4. Step 4: Simplify right side
    77,067.68x = 6,494,993,448.96
  5. Step 5: Solve for x
    x = 6,494,993,448.96/77,067.68
  6. Step 6: Final answer
    x = 84,276.49

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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.