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Finding the Fourth Proportional to 206,926.60, 310,389.90 and 122,945.80

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Solution

The fourth proportional to 206,926.60, 310,389.90 and 122,945.80 is: 184,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,926.60 : 310,389.90 = 122,945.80 : x
  2. Step 2: Convert to fraction form
    206,926.60/310,389.90 = 122,945.80/x
  3. Step 3: Cross multiply
    206,926.60x = 310,389.90 × 122,945.80
  4. Step 4: Simplify right side
    206,926.60x = 38,161,134,567.42
  5. Step 5: Solve for x
    x = 38,161,134,567.42/206,926.60
  6. Step 6: Final answer
    x = 184,418.70

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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.