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Finding the Fourth Proportional to 206,085.60, 309,128.40 and 101,109.60

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Solution

The fourth proportional to 206,085.60, 309,128.40 and 101,109.60 is: 151,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085.60 : 309,128.40 = 101,109.60 : x
  2. Step 2: Convert to fraction form
    206,085.60/309,128.40 = 101,109.60/x
  3. Step 3: Cross multiply
    206,085.60x = 309,128.40 × 101,109.60
  4. Step 4: Simplify right side
    206,085.60x = 31,255,848,872.64
  5. Step 5: Solve for x
    x = 31,255,848,872.64/206,085.60
  6. Step 6: Final answer
    x = 151,664.40

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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.