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Finding the Fourth Proportional to 221,766.93, 306,038.49 and 119,792.39

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Solution

The fourth proportional to 221,766.93, 306,038.49 and 119,792.39 is: 165,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,766.93 : 306,038.49 = 119,792.39 : x
  2. Step 2: Convert to fraction form
    221,766.93/306,038.49 = 119,792.39/x
  3. Step 3: Cross multiply
    221,766.93x = 306,038.49 × 119,792.39
  4. Step 4: Simplify right side
    221,766.93x = 36,661,082,149.09
  5. Step 5: Solve for x
    x = 36,661,082,149.09/221,766.93
  6. Step 6: Final answer
    x = 165,313.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.