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Finding the Fourth Proportional to 259,135.31, 357,590.98 and 142,843.67

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Solution

The fourth proportional to 259,135.31, 357,590.98 and 142,843.67 is: 197,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,135.31 : 357,590.98 = 142,843.67 : x
  2. Step 2: Convert to fraction form
    259,135.31/357,590.98 = 142,843.67/x
  3. Step 3: Cross multiply
    259,135.31x = 357,590.98 × 142,843.67
  4. Step 4: Simplify right side
    259,135.31x = 51,079,607,942.10
  5. Step 5: Solve for x
    x = 51,079,607,942.10/259,135.31
  6. Step 6: Final answer
    x = 197,115.58

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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.