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Finding the Fourth Proportional to 217,755.20, 326,688.42 and 105,489.20

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Solution

The fourth proportional to 217,755.20, 326,688.42 and 105,489.20 is: 158,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,755.20 : 326,688.42 = 105,489.20 : x
  2. Step 2: Convert to fraction form
    217,755.20/326,688.42 = 105,489.20/x
  3. Step 3: Cross multiply
    217,755.20x = 326,688.42 × 105,489.20
  4. Step 4: Simplify right side
    217,755.20x = 34,462,100,075.06
  5. Step 5: Solve for x
    x = 34,462,100,075.06/217,755.20
  6. Step 6: Final answer
    x = 158,260.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.