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Finding the Fourth Proportional to 208,751.56, 288,074.56 and 113,257.56

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Solution

The fourth proportional to 208,751.56, 288,074.56 and 113,257.56 is: 156,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,751.56 : 288,074.56 = 113,257.56 : x
  2. Step 2: Convert to fraction form
    208,751.56/288,074.56 = 113,257.56/x
  3. Step 3: Cross multiply
    208,751.56x = 288,074.56 × 113,257.56
  4. Step 4: Simplify right side
    208,751.56x = 32,626,621,763.67
  5. Step 5: Solve for x
    x = 32,626,621,763.67/208,751.56
  6. Step 6: Final answer
    x = 156,294.03

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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.