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Finding the Fourth Proportional to 199,775.25, 299,706.66 and 75,116.25

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Solution

The fourth proportional to 199,775.25, 299,706.66 and 75,116.25 is: 112,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775.25 : 299,706.66 = 75,116.25 : x
  2. Step 2: Convert to fraction form
    199,775.25/299,706.66 = 75,116.25/x
  3. Step 3: Cross multiply
    199,775.25x = 299,706.66 × 75,116.25
  4. Step 4: Simplify right side
    199,775.25x = 22,512,840,399.23
  5. Step 5: Solve for x
    x = 22,512,840,399.23/199,775.25
  6. Step 6: Final answer
    x = 112,690.84

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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.