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Finding the Fourth Proportional to 224,419.29, 309,738.68 and 133,781.21

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Solution

The fourth proportional to 224,419.29, 309,738.68 and 133,781.21 is: 184,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,419.29 : 309,738.68 = 133,781.21 : x
  2. Step 2: Convert to fraction form
    224,419.29/309,738.68 = 133,781.21/x
  3. Step 3: Cross multiply
    224,419.29x = 309,738.68 × 133,781.21
  4. Step 4: Simplify right side
    224,419.29x = 41,437,213,176.60
  5. Step 5: Solve for x
    x = 41,437,213,176.60/224,419.29
  6. Step 6: Final answer
    x = 184,641.94

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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.