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Finding the Fourth Proportional to 217,176.73, 299,602.50 and 136,648.64

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Solution

The fourth proportional to 217,176.73, 299,602.50 and 136,648.64 is: 188,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,176.73 : 299,602.50 = 136,648.64 : x
  2. Step 2: Convert to fraction form
    217,176.73/299,602.50 = 136,648.64/x
  3. Step 3: Cross multiply
    217,176.73x = 299,602.50 × 136,648.64
  4. Step 4: Simplify right side
    217,176.73x = 40,940,274,165.60
  5. Step 5: Solve for x
    x = 40,940,274,165.60/217,176.73
  6. Step 6: Final answer
    x = 188,511.33

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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.