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Finding the Fourth Proportional to 217,378.32, 299,978.28 and 121,884.72

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Solution

The fourth proportional to 217,378.32, 299,978.28 and 121,884.72 is: 168,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,378.32 : 299,978.28 = 121,884.72 : x
  2. Step 2: Convert to fraction form
    217,378.32/299,978.28 = 121,884.72/x
  3. Step 3: Cross multiply
    217,378.32x = 299,978.28 × 121,884.72
  4. Step 4: Simplify right side
    217,378.32x = 36,562,768,663.88
  5. Step 5: Solve for x
    x = 36,562,768,663.88/217,378.32
  6. Step 6: Final answer
    x = 168,198.78

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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.