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Finding the Fourth Proportional to 115,223.78, 158,991.82 and 66,823.64

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Solution

The fourth proportional to 115,223.78, 158,991.82 and 66,823.64 is: 92,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,223.78 : 158,991.82 = 66,823.64 : x
  2. Step 2: Convert to fraction form
    115,223.78/158,991.82 = 66,823.64/x
  3. Step 3: Cross multiply
    115,223.78x = 158,991.82 × 66,823.64
  4. Step 4: Simplify right side
    115,223.78x = 10,624,412,142.62
  5. Step 5: Solve for x
    x = 10,624,412,142.62/115,223.78
  6. Step 6: Final answer
    x = 92,206.77

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1.5x scale

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.