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Finding the Fourth Proportional to 106,424, 159,528.20 and 69,007.80

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Solution

The fourth proportional to 106,424, 159,528.20 and 69,007.80 is: 103,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424 : 159,528.20 = 69,007.80 : x
  2. Step 2: Convert to fraction form
    106,424/159,528.20 = 69,007.80/x
  3. Step 3: Cross multiply
    106,424x = 159,528.20 × 69,007.80
  4. Step 4: Simplify right side
    106,424x = 11,008,690,119.96
  5. Step 5: Solve for x
    x = 11,008,690,119.96/106,424
  6. Step 6: Final answer
    x = 103,441.80

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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.