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Finding the Fourth Proportional to 221,751.40, 305,930.10 and 136,720.84

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Solution

The fourth proportional to 221,751.40, 305,930.10 and 136,720.84 is: 188,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,751.40 : 305,930.10 = 136,720.84 : x
  2. Step 2: Convert to fraction form
    221,751.40/305,930.10 = 136,720.84/x
  3. Step 3: Cross multiply
    221,751.40x = 305,930.10 × 136,720.84
  4. Step 4: Simplify right side
    221,751.40x = 41,827,020,253.28
  5. Step 5: Solve for x
    x = 41,827,020,253.28/221,751.40
  6. Step 6: Final answer
    x = 188,621.22

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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.