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Finding the Fourth Proportional to 257,736.42, 386,755.29 and 107,964

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Solution

The fourth proportional to 257,736.42, 386,755.29 and 107,964 is: 162,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,736.42 : 386,755.29 = 107,964 : x
  2. Step 2: Convert to fraction form
    257,736.42/386,755.29 = 107,964/x
  3. Step 3: Cross multiply
    257,736.42x = 386,755.29 × 107,964
  4. Step 4: Simplify right side
    257,736.42x = 41,755,648,129.56
  5. Step 5: Solve for x
    x = 41,755,648,129.56/257,736.42
  6. Step 6: Final answer
    x = 162,009.11

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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.