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Finding the Fourth Proportional to 221,980.50, 306,340.38 and 121,378.50

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Solution

The fourth proportional to 221,980.50, 306,340.38 and 121,378.50 is: 167,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,980.50 : 306,340.38 = 121,378.50 : x
  2. Step 2: Convert to fraction form
    221,980.50/306,340.38 = 121,378.50/x
  3. Step 3: Cross multiply
    221,980.50x = 306,340.38 × 121,378.50
  4. Step 4: Simplify right side
    221,980.50x = 37,183,135,813.83
  5. Step 5: Solve for x
    x = 37,183,135,813.83/221,980.50
  6. Step 6: Final answer
    x = 167,506.32

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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.