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Finding the Fourth Proportional to 217,742.50, 300,461.61 and 122,259.94

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Solution

The fourth proportional to 217,742.50, 300,461.61 and 122,259.94 is: 168,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,742.50 : 300,461.61 = 122,259.94 : x
  2. Step 2: Convert to fraction form
    217,742.50/300,461.61 = 122,259.94/x
  3. Step 3: Cross multiply
    217,742.50x = 300,461.61 × 122,259.94
  4. Step 4: Simplify right side
    217,742.50x = 36,734,418,410.90
  5. Step 5: Solve for x
    x = 36,734,418,410.90/217,742.50
  6. Step 6: Final answer
    x = 168,705.78

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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.