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Finding the Fourth Proportional to 208,358.76, 312,209.82 and 161,089.20

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Solution

The fourth proportional to 208,358.76, 312,209.82 and 161,089.20 is: 241,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.76 : 312,209.82 = 161,089.20 : x
  2. Step 2: Convert to fraction form
    208,358.76/312,209.82 = 161,089.20/x
  3. Step 3: Cross multiply
    208,358.76x = 312,209.82 × 161,089.20
  4. Step 4: Simplify right side
    208,358.76x = 50,293,630,135.94
  5. Step 5: Solve for x
    x = 50,293,630,135.94/208,358.76
  6. Step 6: Final answer
    x = 241,379.96

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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.