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Finding the Fourth Proportional to 206,593.60, 309,501.60 and 106,412.80

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Solution

The fourth proportional to 206,593.60, 309,501.60 and 106,412.80 is: 159,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.60 : 309,501.60 = 106,412.80 : x
  2. Step 2: Convert to fraction form
    206,593.60/309,501.60 = 106,412.80/x
  3. Step 3: Cross multiply
    206,593.60x = 309,501.60 × 106,412.80
  4. Step 4: Simplify right side
    206,593.60x = 32,934,931,860.48
  5. Step 5: Solve for x
    x = 32,934,931,860.48/206,593.60
  6. Step 6: Final answer
    x = 159,418.94

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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.