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Finding the Fourth Proportional to 165,489.86, 248,243 and 47,178.62

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Solution

The fourth proportional to 165,489.86, 248,243 and 47,178.62 is: 70,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,489.86 : 248,243 = 47,178.62 : x
  2. Step 2: Convert to fraction form
    165,489.86/248,243 = 47,178.62/x
  3. Step 3: Cross multiply
    165,489.86x = 248,243 × 47,178.62
  4. Step 4: Simplify right side
    165,489.86x = 11,711,762,164.66
  5. Step 5: Solve for x
    x = 11,711,762,164.66/165,489.86
  6. Step 6: Final answer
    x = 70,770.27

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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.