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Finding the Fourth Proportional to 106,324.80, 159,487.40 and 99,829.40

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Solution

The fourth proportional to 106,324.80, 159,487.40 and 99,829.40 is: 149,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324.80 : 159,487.40 = 99,829.40 : x
  2. Step 2: Convert to fraction form
    106,324.80/159,487.40 = 99,829.40/x
  3. Step 3: Cross multiply
    106,324.80x = 159,487.40 × 99,829.40
  4. Step 4: Simplify right side
    106,324.80x = 15,921,531,449.56
  5. Step 5: Solve for x
    x = 15,921,531,449.56/106,324.80
  6. Step 6: Final answer
    x = 149,744.29

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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.