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Finding the Fourth Proportional to 206,493.63, 309,703.47 and 131,390.69

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Solution

The fourth proportional to 206,493.63, 309,703.47 and 131,390.69 is: 197,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,493.63 : 309,703.47 = 131,390.69 : x
  2. Step 2: Convert to fraction form
    206,493.63/309,703.47 = 131,390.69/x
  3. Step 3: Cross multiply
    206,493.63x = 309,703.47 × 131,390.69
  4. Step 4: Simplify right side
    206,493.63x = 40,692,151,070.18
  5. Step 5: Solve for x
    x = 40,692,151,070.18/206,493.63
  6. Step 6: Final answer
    x = 197,062.50

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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.