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Finding the Fourth Proportional to 77,206, 106,544.28 and 41,878

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Solution

The fourth proportional to 77,206, 106,544.28 and 41,878 is: 57,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206 : 106,544.28 = 41,878 : x
  2. Step 2: Convert to fraction form
    77,206/106,544.28 = 41,878/x
  3. Step 3: Cross multiply
    77,206x = 106,544.28 × 41,878
  4. Step 4: Simplify right side
    77,206x = 4,461,861,357.84
  5. Step 5: Solve for x
    x = 4,461,861,357.84/77,206
  6. Step 6: Final answer
    x = 57,791.64

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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.