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Finding the Fourth Proportional to 106,006.86, 158,945.22 and 45,145.62

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Solution

The fourth proportional to 106,006.86, 158,945.22 and 45,145.62 is: 67,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006.86 : 158,945.22 = 45,145.62 : x
  2. Step 2: Convert to fraction form
    106,006.86/158,945.22 = 45,145.62/x
  3. Step 3: Cross multiply
    106,006.86x = 158,945.22 × 45,145.62
  4. Step 4: Simplify right side
    106,006.86x = 7,175,680,502.94
  5. Step 5: Solve for x
    x = 7,175,680,502.94/106,006.86
  6. Step 6: Final answer
    x = 67,690.72

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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.