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Finding the Fourth Proportional to 146,809.60, 206,000 and 146,809.60

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Solution

The fourth proportional to 146,809.60, 206,000 and 146,809.60 is: 206,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,809.60 : 206,000 = 146,809.60 : x
  2. Step 2: Convert to fraction form
    146,809.60/206,000 = 146,809.60/x
  3. Step 3: Cross multiply
    146,809.60x = 206,000 × 146,809.60
  4. Step 4: Simplify right side
    146,809.60x = 30,242,777,600
  5. Step 5: Solve for x
    x = 30,242,777,600/146,809.60
  6. Step 6: Final answer
    x = 206,000

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.