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Finding the Fourth Proportional to 235,320.78, 324,770.31 and 139,827.54

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Solution

The fourth proportional to 235,320.78, 324,770.31 and 139,827.54 is: 192,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,320.78 : 324,770.31 = 139,827.54 : x
  2. Step 2: Convert to fraction form
    235,320.78/324,770.31 = 139,827.54/x
  3. Step 3: Cross multiply
    235,320.78x = 324,770.31 × 139,827.54
  4. Step 4: Simplify right side
    235,320.78x = 45,411,833,512.34
  5. Step 5: Solve for x
    x = 45,411,833,512.34/235,320.78
  6. Step 6: Final answer
    x = 192,978.43

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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.