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Finding the Fourth Proportional to 235,830.92, 325,418.46 and 138,961.40

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Solution

The fourth proportional to 235,830.92, 325,418.46 and 138,961.40 is: 191,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,830.92 : 325,418.46 = 138,961.40 : x
  2. Step 2: Convert to fraction form
    235,830.92/325,418.46 = 138,961.40/x
  3. Step 3: Cross multiply
    235,830.92x = 325,418.46 × 138,961.40
  4. Step 4: Simplify right side
    235,830.92x = 45,220,603,160.35
  5. Step 5: Solve for x
    x = 45,220,603,160.35/235,830.92
  6. Step 6: Final answer
    x = 191,750.11

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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.