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Finding the Fourth Proportional to 199,941.42, 299,801.97 and 66,751.50

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Solution

The fourth proportional to 199,941.42, 299,801.97 and 66,751.50 is: 100,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,941.42 : 299,801.97 = 66,751.50 : x
  2. Step 2: Convert to fraction form
    199,941.42/299,801.97 = 66,751.50/x
  3. Step 3: Cross multiply
    199,941.42x = 299,801.97 × 66,751.50
  4. Step 4: Simplify right side
    199,941.42x = 20,012,231,200.46
  5. Step 5: Solve for x
    x = 20,012,231,200.46/199,941.42
  6. Step 6: Final answer
    x = 100,090.47

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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.