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Finding the Fourth Proportional to 199,675.34, 299,584.32 and 85,775.30

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Solution

The fourth proportional to 199,675.34, 299,584.32 and 85,775.30 is: 128,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.34 : 299,584.32 = 85,775.30 : x
  2. Step 2: Convert to fraction form
    199,675.34/299,584.32 = 85,775.30/x
  3. Step 3: Cross multiply
    199,675.34x = 299,584.32 × 85,775.30
  4. Step 4: Simplify right side
    199,675.34x = 25,696,934,923.30
  5. Step 5: Solve for x
    x = 25,696,934,923.30/199,675.34
  6. Step 6: Final answer
    x = 128,693.58

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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.