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Finding the Fourth Proportional to 209,355.30, 313,849.17 and 83,084.67

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Solution

The fourth proportional to 209,355.30, 313,849.17 and 83,084.67 is: 124,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,355.30 : 313,849.17 = 83,084.67 : x
  2. Step 2: Convert to fraction form
    209,355.30/313,849.17 = 83,084.67/x
  3. Step 3: Cross multiply
    209,355.30x = 313,849.17 × 83,084.67
  4. Step 4: Simplify right side
    209,355.30x = 26,076,054,719.22
  5. Step 5: Solve for x
    x = 26,076,054,719.22/209,355.30
  6. Step 6: Final answer
    x = 124,554.07

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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.