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Finding the Fourth Proportional to 206,212.60, 309,416.10 and 153,724.60

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Solution

The fourth proportional to 206,212.60, 309,416.10 and 153,724.60 is: 230,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,212.60 : 309,416.10 = 153,724.60 : x
  2. Step 2: Convert to fraction form
    206,212.60/309,416.10 = 153,724.60/x
  3. Step 3: Cross multiply
    206,212.60x = 309,416.10 × 153,724.60
  4. Step 4: Simplify right side
    206,212.60x = 47,564,866,206.06
  5. Step 5: Solve for x
    x = 47,564,866,206.06/206,212.60
  6. Step 6: Final answer
    x = 230,659.36

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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.