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Finding the Fourth Proportional to 217,537.93, 300,220.43 and 120,750.88

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Solution

The fourth proportional to 217,537.93, 300,220.43 and 120,750.88 is: 166,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,537.93 : 300,220.43 = 120,750.88 : x
  2. Step 2: Convert to fraction form
    217,537.93/300,220.43 = 120,750.88/x
  3. Step 3: Cross multiply
    217,537.93x = 300,220.43 × 120,750.88
  4. Step 4: Simplify right side
    217,537.93x = 36,251,879,480.72
  5. Step 5: Solve for x
    x = 36,251,879,480.72/217,537.93
  6. Step 6: Final answer
    x = 166,646.25

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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.