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Finding the Fourth Proportional to 218,077.10, 300,950.81 and 122,581.74

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Solution

The fourth proportional to 218,077.10, 300,950.81 and 122,581.74 is: 169,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,077.10 : 300,950.81 = 122,581.74 : x
  2. Step 2: Convert to fraction form
    218,077.10/300,950.81 = 122,581.74/x
  3. Step 3: Cross multiply
    218,077.10x = 300,950.81 × 122,581.74
  4. Step 4: Simplify right side
    218,077.10x = 36,891,073,944.21
  5. Step 5: Solve for x
    x = 36,891,073,944.21/218,077.10
  6. Step 6: Final answer
    x = 169,165.28

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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.