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Finding the Fourth Proportional to 206,343.24, 309,602.33 and 112,739.64

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Solution

The fourth proportional to 206,343.24, 309,602.33 and 112,739.64 is: 169,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343.24 : 309,602.33 = 112,739.64 : x
  2. Step 2: Convert to fraction form
    206,343.24/309,602.33 = 112,739.64/x
  3. Step 3: Cross multiply
    206,343.24x = 309,602.33 × 112,739.64
  4. Step 4: Simplify right side
    206,343.24x = 34,904,455,227.36
  5. Step 5: Solve for x
    x = 34,904,455,227.36/206,343.24
  6. Step 6: Final answer
    x = 169,157.25

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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.