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Finding the Fourth Proportional to 238,481.70, 329,032.98 and 142,953.54

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Solution

The fourth proportional to 238,481.70, 329,032.98 and 142,953.54 is: 197,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,481.70 : 329,032.98 = 142,953.54 : x
  2. Step 2: Convert to fraction form
    238,481.70/329,032.98 = 142,953.54/x
  3. Step 3: Cross multiply
    238,481.70x = 329,032.98 × 142,953.54
  4. Step 4: Simplify right side
    238,481.70x = 47,036,429,267.75
  5. Step 5: Solve for x
    x = 47,036,429,267.75/238,481.70
  6. Step 6: Final answer
    x = 197,232.87

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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.