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Finding the Fourth Proportional to 205,402.46, 307,644.27 and 118,742.15

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Solution

The fourth proportional to 205,402.46, 307,644.27 and 118,742.15 is: 177,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,402.46 : 307,644.27 = 118,742.15 : x
  2. Step 2: Convert to fraction form
    205,402.46/307,644.27 = 118,742.15/x
  3. Step 3: Cross multiply
    205,402.46x = 307,644.27 × 118,742.15
  4. Step 4: Simplify right side
    205,402.46x = 36,530,342,054.98
  5. Step 5: Solve for x
    x = 36,530,342,054.98/205,402.46
  6. Step 6: Final answer
    x = 177,847.64

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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.