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Finding the Fourth Proportional to 219,673.62, 303,027.60 and 127,782.55

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Solution

The fourth proportional to 219,673.62, 303,027.60 and 127,782.55 is: 176,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,673.62 : 303,027.60 = 127,782.55 : x
  2. Step 2: Convert to fraction form
    219,673.62/303,027.60 = 127,782.55/x
  3. Step 3: Cross multiply
    219,673.62x = 303,027.60 × 127,782.55
  4. Step 4: Simplify right side
    219,673.62x = 38,721,640,439.84
  5. Step 5: Solve for x
    x = 38,721,640,439.84/219,673.62
  6. Step 6: Final answer
    x = 176,268.96

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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.