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Finding the Fourth Proportional to 76,816, 106,006.14 and 41,488

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Solution

The fourth proportional to 76,816, 106,006.14 and 41,488 is: 57,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816 : 106,006.14 = 41,488 : x
  2. Step 2: Convert to fraction form
    76,816/106,006.14 = 41,488/x
  3. Step 3: Cross multiply
    76,816x = 106,006.14 × 41,488
  4. Step 4: Simplify right side
    76,816x = 4,397,982,736.32
  5. Step 5: Solve for x
    x = 4,397,982,736.32/76,816
  6. Step 6: Final answer
    x = 57,253.47

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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.