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Finding the Fourth Proportional to 76,815, 106,004.70 and 41,487

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Solution

The fourth proportional to 76,815, 106,004.70 and 41,487 is: 57,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815 : 106,004.70 = 41,487 : x
  2. Step 2: Convert to fraction form
    76,815/106,004.70 = 41,487/x
  3. Step 3: Cross multiply
    76,815x = 106,004.70 × 41,487
  4. Step 4: Simplify right side
    76,815x = 4,397,816,988.90
  5. Step 5: Solve for x
    x = 4,397,816,988.90/76,815
  6. Step 6: Final answer
    x = 57,252.06

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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.