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Finding the Fourth Proportional to 209,621.70, 314,404.20 and 83,354.85

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Solution

The fourth proportional to 209,621.70, 314,404.20 and 83,354.85 is: 125,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,621.70 : 314,404.20 = 83,354.85 : x
  2. Step 2: Convert to fraction form
    209,621.70/314,404.20 = 83,354.85/x
  3. Step 3: Cross multiply
    209,621.70x = 314,404.20 × 83,354.85
  4. Step 4: Simplify right side
    209,621.70x = 26,207,114,930.37
  5. Step 5: Solve for x
    x = 26,207,114,930.37/209,621.70
  6. Step 6: Final answer
    x = 125,021.00

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1.5x scale

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.