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Finding the Fourth Proportional to 199,360.98, 298,702.96 and 120,309.10

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Solution

The fourth proportional to 199,360.98, 298,702.96 and 120,309.10 is: 180,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,360.98 : 298,702.96 = 120,309.10 : x
  2. Step 2: Convert to fraction form
    199,360.98/298,702.96 = 120,309.10/x
  3. Step 3: Cross multiply
    199,360.98x = 298,702.96 × 120,309.10
  4. Step 4: Simplify right side
    199,360.98x = 35,936,683,237.41
  5. Step 5: Solve for x
    x = 35,936,683,237.41/199,360.98
  6. Step 6: Final answer
    x = 180,259.36

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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.