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Finding the Fourth Proportional to 199,970.92, 298,192.64 and 198,170.72

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Solution

The fourth proportional to 199,970.92, 298,192.64 and 198,170.72 is: 295,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,970.92 : 298,192.64 = 198,170.72 : x
  2. Step 2: Convert to fraction form
    199,970.92/298,192.64 = 198,170.72/x
  3. Step 3: Cross multiply
    199,970.92x = 298,192.64 × 198,170.72
  4. Step 4: Simplify right side
    199,970.92x = 59,093,050,167.50
  5. Step 5: Solve for x
    x = 59,093,050,167.50/199,970.92
  6. Step 6: Final answer
    x = 295,508.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.