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Finding the Fourth Proportional to 100,785, 151,183.74 and 30,669.48

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Solution

The fourth proportional to 100,785, 151,183.74 and 30,669.48 is: 46,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,785 : 151,183.74 = 30,669.48 : x
  2. Step 2: Convert to fraction form
    100,785/151,183.74 = 30,669.48/x
  3. Step 3: Cross multiply
    100,785x = 151,183.74 × 30,669.48
  4. Step 4: Simplify right side
    100,785x = 4,636,726,690.26
  5. Step 5: Solve for x
    x = 4,636,726,690.26/100,785
  6. Step 6: Final answer
    x = 46,006.12

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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.