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Finding the Fourth Proportional to 106,991.47, 147,646.42 and 59,243.79

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Solution

The fourth proportional to 106,991.47, 147,646.42 and 59,243.79 is: 81,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,991.47 : 147,646.42 = 59,243.79 : x
  2. Step 2: Convert to fraction form
    106,991.47/147,646.42 = 59,243.79/x
  3. Step 3: Cross multiply
    106,991.47x = 147,646.42 × 59,243.79
  4. Step 4: Simplify right side
    106,991.47x = 8,747,133,500.73
  5. Step 5: Solve for x
    x = 8,747,133,500.73/106,991.47
  6. Step 6: Final answer
    x = 81,755.43

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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.