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Finding the Fourth Proportional to 219,618.54, 329,792.31 and 137,037.42

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Solution

The fourth proportional to 219,618.54, 329,792.31 and 137,037.42 is: 205,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,618.54 : 329,792.31 = 137,037.42 : x
  2. Step 2: Convert to fraction form
    219,618.54/329,792.31 = 137,037.42/x
  3. Step 3: Cross multiply
    219,618.54x = 329,792.31 × 137,037.42
  4. Step 4: Simplify right side
    219,618.54x = 45,193,887,298.24
  5. Step 5: Solve for x
    x = 45,193,887,298.24/219,618.54
  6. Step 6: Final answer
    x = 205,783.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.