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Finding the Fourth Proportional to 209,568.09, 314,352.23 and 69,326.71

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Solution

The fourth proportional to 209,568.09, 314,352.23 and 69,326.71 is: 103,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.09 : 314,352.23 = 69,326.71 : x
  2. Step 2: Convert to fraction form
    209,568.09/314,352.23 = 69,326.71/x
  3. Step 3: Cross multiply
    209,568.09x = 314,352.23 × 69,326.71
  4. Step 4: Simplify right side
    209,568.09x = 21,793,005,887.06
  5. Step 5: Solve for x
    x = 21,793,005,887.06/209,568.09
  6. Step 6: Final answer
    x = 103,990.10

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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.