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Finding the Fourth Proportional to 206,563.32, 309,063.06 and 122,368.68

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Solution

The fourth proportional to 206,563.32, 309,063.06 and 122,368.68 is: 183,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,563.32 : 309,063.06 = 122,368.68 : x
  2. Step 2: Convert to fraction form
    206,563.32/309,063.06 = 122,368.68/x
  3. Step 3: Cross multiply
    206,563.32x = 309,063.06 × 122,368.68
  4. Step 4: Simplify right side
    206,563.32x = 37,819,638,688.96
  5. Step 5: Solve for x
    x = 37,819,638,688.96/206,563.32
  6. Step 6: Final answer
    x = 183,089.81

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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.