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Finding the Fourth Proportional to 208,563.25, 288,054.89 and 141,378.61

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Solution

The fourth proportional to 208,563.25, 288,054.89 and 141,378.61 is: 195,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.25 : 288,054.89 = 141,378.61 : x
  2. Step 2: Convert to fraction form
    208,563.25/288,054.89 = 141,378.61/x
  3. Step 3: Cross multiply
    208,563.25x = 288,054.89 × 141,378.61
  4. Step 4: Simplify right side
    208,563.25x = 40,724,799,245.01
  5. Step 5: Solve for x
    x = 40,724,799,245.01/208,563.25
  6. Step 6: Final answer
    x = 195,263.54

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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.