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Finding the Fourth Proportional to 196,820.40, 295,230.60 and 54,665.40

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Solution

The fourth proportional to 196,820.40, 295,230.60 and 54,665.40 is: 81,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,820.40 : 295,230.60 = 54,665.40 : x
  2. Step 2: Convert to fraction form
    196,820.40/295,230.60 = 54,665.40/x
  3. Step 3: Cross multiply
    196,820.40x = 295,230.60 × 54,665.40
  4. Step 4: Simplify right side
    196,820.40x = 16,138,898,841.24
  5. Step 5: Solve for x
    x = 16,138,898,841.24/196,820.40
  6. Step 6: Final answer
    x = 81,998.10

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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.