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Finding the Fourth Proportional to 199,076.60, 298,730.10 and 74,430.20

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Solution

The fourth proportional to 199,076.60, 298,730.10 and 74,430.20 is: 111,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,076.60 : 298,730.10 = 74,430.20 : x
  2. Step 2: Convert to fraction form
    199,076.60/298,730.10 = 74,430.20/x
  3. Step 3: Cross multiply
    199,076.60x = 298,730.10 × 74,430.20
  4. Step 4: Simplify right side
    199,076.60x = 22,234,541,089.02
  5. Step 5: Solve for x
    x = 22,234,541,089.02/199,076.60
  6. Step 6: Final answer
    x = 111,688.37

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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.