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Finding the Fourth Proportional to 206,064, 309,225.84 and 87,735.12

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Solution

The fourth proportional to 206,064, 309,225.84 and 87,735.12 is: 131,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064 : 309,225.84 = 87,735.12 : x
  2. Step 2: Convert to fraction form
    206,064/309,225.84 = 87,735.12/x
  3. Step 3: Cross multiply
    206,064x = 309,225.84 × 87,735.12
  4. Step 4: Simplify right side
    206,064x = 27,129,966,179.50
  5. Step 5: Solve for x
    x = 27,129,966,179.50/206,064
  6. Step 6: Final answer
    x = 131,657.96

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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.