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Finding the Fourth Proportional to 217,737.88, 300,493.14 and 120,953.08

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Solution

The fourth proportional to 217,737.88, 300,493.14 and 120,953.08 is: 166,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,737.88 : 300,493.14 = 120,953.08 : x
  2. Step 2: Convert to fraction form
    217,737.88/300,493.14 = 120,953.08/x
  3. Step 3: Cross multiply
    217,737.88x = 300,493.14 × 120,953.08
  4. Step 4: Simplify right side
    217,737.88x = 36,345,570,801.87
  5. Step 5: Solve for x
    x = 36,345,570,801.87/217,737.88
  6. Step 6: Final answer
    x = 166,923.51

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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.