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Finding the Fourth Proportional to 209,299.90, 313,949.76 and 61,555.90

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Solution

The fourth proportional to 209,299.90, 313,949.76 and 61,555.90 is: 92,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,299.90 : 313,949.76 = 61,555.90 : x
  2. Step 2: Convert to fraction form
    209,299.90/313,949.76 = 61,555.90/x
  3. Step 3: Cross multiply
    209,299.90x = 313,949.76 × 61,555.90
  4. Step 4: Simplify right side
    209,299.90x = 19,325,460,031.58
  5. Step 5: Solve for x
    x = 19,325,460,031.58/209,299.90
  6. Step 6: Final answer
    x = 92,333.82

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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.