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Finding the Fourth Proportional to 106,530.73, 159,817.96 and 31,644.21

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Solution

The fourth proportional to 106,530.73, 159,817.96 and 31,644.21 is: 47,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,530.73 : 159,817.96 = 31,644.21 : x
  2. Step 2: Convert to fraction form
    106,530.73/159,817.96 = 31,644.21/x
  3. Step 3: Cross multiply
    106,530.73x = 159,817.96 × 31,644.21
  4. Step 4: Simplify right side
    106,530.73x = 5,057,313,088.01
  5. Step 5: Solve for x
    x = 5,057,313,088.01/106,530.73
  6. Step 6: Final answer
    x = 47,472.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.