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Finding the Fourth Proportional to 216,749.37, 299,194.38 and 163,189.74

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Solution

The fourth proportional to 216,749.37, 299,194.38 and 163,189.74 is: 225,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,749.37 : 299,194.38 = 163,189.74 : x
  2. Step 2: Convert to fraction form
    216,749.37/299,194.38 = 163,189.74/x
  3. Step 3: Cross multiply
    216,749.37x = 299,194.38 × 163,189.74
  4. Step 4: Simplify right side
    216,749.37x = 48,825,453,081.66
  5. Step 5: Solve for x
    x = 48,825,453,081.66/216,749.37
  6. Step 6: Final answer
    x = 225,262.26

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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.