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Finding the Fourth Proportional to 235,114, 324,556.60 and 158,736.50

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Solution

The fourth proportional to 235,114, 324,556.60 and 158,736.50 is: 219,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114 : 324,556.60 = 158,736.50 : x
  2. Step 2: Convert to fraction form
    235,114/324,556.60 = 158,736.50/x
  3. Step 3: Cross multiply
    235,114x = 324,556.60 × 158,736.50
  4. Step 4: Simplify right side
    235,114x = 51,518,978,735.90
  5. Step 5: Solve for x
    x = 51,518,978,735.90/235,114
  6. Step 6: Final answer
    x = 219,123.40

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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.