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Finding the Fourth Proportional to 209,221.91, 288,739.64 and 117,349.82

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Solution

The fourth proportional to 209,221.91, 288,739.64 and 117,349.82 is: 161,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,221.91 : 288,739.64 = 117,349.82 : x
  2. Step 2: Convert to fraction form
    209,221.91/288,739.64 = 117,349.82/x
  3. Step 3: Cross multiply
    209,221.91x = 288,739.64 × 117,349.82
  4. Step 4: Simplify right side
    209,221.91x = 33,883,543,630.54
  5. Step 5: Solve for x
    x = 33,883,543,630.54/209,221.91
  6. Step 6: Final answer
    x = 161,950.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.