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Finding the Fourth Proportional to 223,170.12, 307,981.86 and 122,568.12

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Solution

The fourth proportional to 223,170.12, 307,981.86 and 122,568.12 is: 169,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,170.12 : 307,981.86 = 122,568.12 : x
  2. Step 2: Convert to fraction form
    223,170.12/307,981.86 = 122,568.12/x
  3. Step 3: Cross multiply
    223,170.12x = 307,981.86 × 122,568.12
  4. Step 4: Simplify right side
    223,170.12x = 37,748,757,574.30
  5. Step 5: Solve for x
    x = 37,748,757,574.30/223,170.12
  6. Step 6: Final answer
    x = 169,147.90

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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.