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Finding the Fourth Proportional to 224,242.81, 309,453.83 and 123,640.81

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Solution

The fourth proportional to 224,242.81, 309,453.83 and 123,640.81 is: 170,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.81 : 309,453.83 = 123,640.81 : x
  2. Step 2: Convert to fraction form
    224,242.81/309,453.83 = 123,640.81/x
  3. Step 3: Cross multiply
    224,242.81x = 309,453.83 × 123,640.81
  4. Step 4: Simplify right side
    224,242.81x = 38,261,121,580.60
  5. Step 5: Solve for x
    x = 38,261,121,580.60/224,242.81
  6. Step 6: Final answer
    x = 170,623.63

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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.