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Finding the Fourth Proportional to 221,518.95, 305,696.07 and 120,916.95

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Solution

The fourth proportional to 221,518.95, 305,696.07 and 120,916.95 is: 166,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,518.95 : 305,696.07 = 120,916.95 : x
  2. Step 2: Convert to fraction form
    221,518.95/305,696.07 = 120,916.95/x
  3. Step 3: Cross multiply
    221,518.95x = 305,696.07 × 120,916.95
  4. Step 4: Simplify right side
    221,518.95x = 36,963,836,411.39
  5. Step 5: Solve for x
    x = 36,963,836,411.39/221,518.95
  6. Step 6: Final answer
    x = 166,865.35

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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.