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Finding the Fourth Proportional to 199,098.60, 298,647.90 and 51,354.60

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Solution

The fourth proportional to 199,098.60, 298,647.90 and 51,354.60 is: 77,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,098.60 : 298,647.90 = 51,354.60 : x
  2. Step 2: Convert to fraction form
    199,098.60/298,647.90 = 51,354.60/x
  3. Step 3: Cross multiply
    199,098.60x = 298,647.90 × 51,354.60
  4. Step 4: Simplify right side
    199,098.60x = 15,336,943,445.34
  5. Step 5: Solve for x
    x = 15,336,943,445.34/199,098.60
  6. Step 6: Final answer
    x = 77,031.90

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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.