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Finding the Fourth Proportional to 209,576.79, 314,268.68 and 67,395.78

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Solution

The fourth proportional to 209,576.79, 314,268.68 and 67,395.78 is: 101,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576.79 : 314,268.68 = 67,395.78 : x
  2. Step 2: Convert to fraction form
    209,576.79/314,268.68 = 67,395.78/x
  3. Step 3: Cross multiply
    209,576.79x = 314,268.68 × 67,395.78
  4. Step 4: Simplify right side
    209,576.79x = 21,180,382,986.66
  5. Step 5: Solve for x
    x = 21,180,382,986.66/209,576.79
  6. Step 6: Final answer
    x = 101,062.64

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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.