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Finding the Fourth Proportional to 217,100.63, 299,594.43 and 120,303.68

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Solution

The fourth proportional to 217,100.63, 299,594.43 and 120,303.68 is: 166,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,100.63 : 299,594.43 = 120,303.68 : x
  2. Step 2: Convert to fraction form
    217,100.63/299,594.43 = 120,303.68/x
  3. Step 3: Cross multiply
    217,100.63x = 299,594.43 × 120,303.68
  4. Step 4: Simplify right side
    217,100.63x = 36,042,310,938.53
  5. Step 5: Solve for x
    x = 36,042,310,938.53/217,100.63
  6. Step 6: Final answer
    x = 166,016.61

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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.