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Finding the Fourth Proportional to 199,902.42, 299,751.75 and 66,734.82

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Solution

The fourth proportional to 199,902.42, 299,751.75 and 66,734.82 is: 100,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.42 : 299,751.75 = 66,734.82 : x
  2. Step 2: Convert to fraction form
    199,902.42/299,751.75 = 66,734.82/x
  3. Step 3: Cross multiply
    199,902.42x = 299,751.75 × 66,734.82
  4. Step 4: Simplify right side
    199,902.42x = 20,003,879,080.94
  5. Step 5: Solve for x
    x = 20,003,879,080.94/199,902.42
  6. Step 6: Final answer
    x = 100,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.