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Finding the Fourth Proportional to 199,825.93, 299,734.64 and 64,889.85

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Solution

The fourth proportional to 199,825.93, 299,734.64 and 64,889.85 is: 97,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825.93 : 299,734.64 = 64,889.85 : x
  2. Step 2: Convert to fraction form
    199,825.93/299,734.64 = 64,889.85/x
  3. Step 3: Cross multiply
    199,825.93x = 299,734.64 × 64,889.85
  4. Step 4: Simplify right side
    199,825.93x = 19,449,735,829.40
  5. Step 5: Solve for x
    x = 19,449,735,829.40/199,825.93
  6. Step 6: Final answer
    x = 97,333.39

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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.