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Finding the Fourth Proportional to 219,454.92, 302,978.31 and 138,951.45

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Solution

The fourth proportional to 219,454.92, 302,978.31 and 138,951.45 is: 191,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,454.92 : 302,978.31 = 138,951.45 : x
  2. Step 2: Convert to fraction form
    219,454.92/302,978.31 = 138,951.45/x
  3. Step 3: Cross multiply
    219,454.92x = 302,978.31 × 138,951.45
  4. Step 4: Simplify right side
    219,454.92x = 42,099,275,493.05
  5. Step 5: Solve for x
    x = 42,099,275,493.05/219,454.92
  6. Step 6: Final answer
    x = 191,835.64

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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.