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Finding the Fourth Proportional to 217,602.86, 300,286.95 and 120,800.92

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Solution

The fourth proportional to 217,602.86, 300,286.95 and 120,800.92 is: 166,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,602.86 : 300,286.95 = 120,800.92 : x
  2. Step 2: Convert to fraction form
    217,602.86/300,286.95 = 120,800.92/x
  3. Step 3: Cross multiply
    217,602.86x = 300,286.95 × 120,800.92
  4. Step 4: Simplify right side
    217,602.86x = 36,274,939,183.31
  5. Step 5: Solve for x
    x = 36,274,939,183.31/217,602.86
  6. Step 6: Final answer
    x = 166,702.50

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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.