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Finding the Fourth Proportional to 206,520.64, 309,656.32 and 92,647.69

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Solution

The fourth proportional to 206,520.64, 309,656.32 and 92,647.69 is: 138,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520.64 : 309,656.32 = 92,647.69 : x
  2. Step 2: Convert to fraction form
    206,520.64/309,656.32 = 92,647.69/x
  3. Step 3: Cross multiply
    206,520.64x = 309,656.32 × 92,647.69
  4. Step 4: Simplify right side
    206,520.64x = 28,688,942,741.90
  5. Step 5: Solve for x
    x = 28,688,942,741.90/206,520.64
  6. Step 6: Final answer
    x = 138,915.62

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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.