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Finding the Fourth Proportional to 150,412.75, 207,569.61 and 82,429.09

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Solution

The fourth proportional to 150,412.75, 207,569.61 and 82,429.09 is: 113,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.75 : 207,569.61 = 82,429.09 : x
  2. Step 2: Convert to fraction form
    150,412.75/207,569.61 = 82,429.09/x
  3. Step 3: Cross multiply
    150,412.75x = 207,569.61 × 82,429.09
  4. Step 4: Simplify right side
    150,412.75x = 17,109,774,944.44
  5. Step 5: Solve for x
    x = 17,109,774,944.44/150,412.75
  6. Step 6: Final answer
    x = 113,752.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.