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Finding the Fourth Proportional to 209,257.29, 288,786.87 and 113,762.07

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Solution

The fourth proportional to 209,257.29, 288,786.87 and 113,762.07 is: 156,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.29 : 288,786.87 = 113,762.07 : x
  2. Step 2: Convert to fraction form
    209,257.29/288,786.87 = 113,762.07/x
  3. Step 3: Cross multiply
    209,257.29x = 288,786.87 × 113,762.07
  4. Step 4: Simplify right side
    209,257.29x = 32,852,992,120.02
  5. Step 5: Solve for x
    x = 32,852,992,120.02/209,257.29
  6. Step 6: Final answer
    x = 156,998.08

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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.