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Finding the Fourth Proportional to 221,805, 306,093.06 and 121,205.16

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Solution

The fourth proportional to 221,805, 306,093.06 and 121,205.16 is: 167,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,805 : 306,093.06 = 121,205.16 : x
  2. Step 2: Convert to fraction form
    221,805/306,093.06 = 121,205.16/x
  3. Step 3: Cross multiply
    221,805x = 306,093.06 × 121,205.16
  4. Step 4: Simplify right side
    221,805x = 37,100,058,312.19
  5. Step 5: Solve for x
    x = 37,100,058,312.19/221,805
  6. Step 6: Final answer
    x = 167,264.30

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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.