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Finding the Fourth Proportional to 258,733.86, 357,059.67 and 142,450.88

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Solution

The fourth proportional to 258,733.86, 357,059.67 and 142,450.88 is: 196,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,733.86 : 357,059.67 = 142,450.88 : x
  2. Step 2: Convert to fraction form
    258,733.86/357,059.67 = 142,450.88/x
  3. Step 3: Cross multiply
    258,733.86x = 357,059.67 × 142,450.88
  4. Step 4: Simplify right side
    258,733.86x = 50,863,462,418.71
  5. Step 5: Solve for x
    x = 50,863,462,418.71/258,733.86
  6. Step 6: Final answer
    x = 196,586.03

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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.