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Finding the Fourth Proportional to 206,900.60, 310,350.90 and 122,919.80

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Solution

The fourth proportional to 206,900.60, 310,350.90 and 122,919.80 is: 184,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,900.60 : 310,350.90 = 122,919.80 : x
  2. Step 2: Convert to fraction form
    206,900.60/310,350.90 = 122,919.80/x
  3. Step 3: Cross multiply
    206,900.60x = 310,350.90 × 122,919.80
  4. Step 4: Simplify right side
    206,900.60x = 38,148,270,557.82
  5. Step 5: Solve for x
    x = 38,148,270,557.82/206,900.60
  6. Step 6: Final answer
    x = 184,379.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.