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Finding the Fourth Proportional to 199,643.56, 299,512.86 and 66,524.68

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Solution

The fourth proportional to 199,643.56, 299,512.86 and 66,524.68 is: 99,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.56 : 299,512.86 = 66,524.68 : x
  2. Step 2: Convert to fraction form
    199,643.56/299,512.86 = 66,524.68/x
  3. Step 3: Cross multiply
    199,643.56x = 299,512.86 × 66,524.68
  4. Step 4: Simplify right side
    199,643.56x = 19,924,997,167.38
  5. Step 5: Solve for x
    x = 19,924,997,167.38/199,643.56
  6. Step 6: Final answer
    x = 99,802.85

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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.