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Finding the Fourth Proportional to 224,322.96, 309,561 and 123,720.96

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Solution

The fourth proportional to 224,322.96, 309,561 and 123,720.96 is: 170,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,322.96 : 309,561 = 123,720.96 : x
  2. Step 2: Convert to fraction form
    224,322.96/309,561 = 123,720.96/x
  3. Step 3: Cross multiply
    224,322.96x = 309,561 × 123,720.96
  4. Step 4: Simplify right side
    224,322.96x = 38,299,184,098.56
  5. Step 5: Solve for x
    x = 38,299,184,098.56/224,322.96
  6. Step 6: Final answer
    x = 170,732.34

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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.