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Finding the Fourth Proportional to 199,747.40, 299,232.30 and 120,626.60

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Solution

The fourth proportional to 199,747.40, 299,232.30 and 120,626.60 is: 180,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,747.40 : 299,232.30 = 120,626.60 : x
  2. Step 2: Convert to fraction form
    199,747.40/299,232.30 = 120,626.60/x
  3. Step 3: Cross multiply
    199,747.40x = 299,232.30 × 120,626.60
  4. Step 4: Simplify right side
    199,747.40x = 36,095,374,959.18
  5. Step 5: Solve for x
    x = 36,095,374,959.18/199,747.40
  6. Step 6: Final answer
    x = 180,705.11

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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.