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Finding the Fourth Proportional to 206,564.40, 309,846.60 and 122,583.60

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Solution

The fourth proportional to 206,564.40, 309,846.60 and 122,583.60 is: 183,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564.40 : 309,846.60 = 122,583.60 : x
  2. Step 2: Convert to fraction form
    206,564.40/309,846.60 = 122,583.60/x
  3. Step 3: Cross multiply
    206,564.40x = 309,846.60 × 122,583.60
  4. Step 4: Simplify right side
    206,564.40x = 37,982,111,675.76
  5. Step 5: Solve for x
    x = 37,982,111,675.76/206,564.40
  6. Step 6: Final answer
    x = 183,875.40

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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.