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Finding the Fourth Proportional to 209,084.94, 313,516.22 and 82,720.08

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Solution

The fourth proportional to 209,084.94, 313,516.22 and 82,720.08 is: 124,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084.94 : 313,516.22 = 82,720.08 : x
  2. Step 2: Convert to fraction form
    209,084.94/313,516.22 = 82,720.08/x
  3. Step 3: Cross multiply
    209,084.94x = 313,516.22 × 82,720.08
  4. Step 4: Simplify right side
    209,084.94x = 25,934,086,386.10
  5. Step 5: Solve for x
    x = 25,934,086,386.10/209,084.94
  6. Step 6: Final answer
    x = 124,036.13

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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.