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Finding the Fourth Proportional to 209,792.99, 314,656.80 and 115,069.77

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Solution

The fourth proportional to 209,792.99, 314,656.80 and 115,069.77 is: 172,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.99 : 314,656.80 = 115,069.77 : x
  2. Step 2: Convert to fraction form
    209,792.99/314,656.80 = 115,069.77/x
  3. Step 3: Cross multiply
    209,792.99x = 314,656.80 × 115,069.77
  4. Step 4: Simplify right side
    209,792.99x = 36,207,485,604.94
  5. Step 5: Solve for x
    x = 36,207,485,604.94/209,792.99
  6. Step 6: Final answer
    x = 172,586.73

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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.