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Finding the Fourth Proportional to 77,049, 106,327.62 and 41,721

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Solution

The fourth proportional to 77,049, 106,327.62 and 41,721 is: 57,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049 : 106,327.62 = 41,721 : x
  2. Step 2: Convert to fraction form
    77,049/106,327.62 = 41,721/x
  3. Step 3: Cross multiply
    77,049x = 106,327.62 × 41,721
  4. Step 4: Simplify right side
    77,049x = 4,436,094,634.02
  5. Step 5: Solve for x
    x = 4,436,094,634.02/77,049
  6. Step 6: Final answer
    x = 57,574.98

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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.