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Finding the Fourth Proportional to 221,640.50, 305,865.57 and 121,038.50

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Solution

The fourth proportional to 221,640.50, 305,865.57 and 121,038.50 is: 167,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640.50 : 305,865.57 = 121,038.50 : x
  2. Step 2: Convert to fraction form
    221,640.50/305,865.57 = 121,038.50/x
  3. Step 3: Cross multiply
    221,640.50x = 305,865.57 × 121,038.50
  4. Step 4: Simplify right side
    221,640.50x = 37,021,509,794.45
  5. Step 5: Solve for x
    x = 37,021,509,794.45/221,640.50
  6. Step 6: Final answer
    x = 167,034.05

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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.