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Finding the Fourth Proportional to 198,503.10, 297,841.05 and 100,007.10

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Solution

The fourth proportional to 198,503.10, 297,841.05 and 100,007.10 is: 150,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,503.10 : 297,841.05 = 100,007.10 : x
  2. Step 2: Convert to fraction form
    198,503.10/297,841.05 = 100,007.10/x
  3. Step 3: Cross multiply
    198,503.10x = 297,841.05 × 100,007.10
  4. Step 4: Simplify right side
    198,503.10x = 29,786,219,671.46
  5. Step 5: Solve for x
    x = 29,786,219,671.46/198,503.10
  6. Step 6: Final answer
    x = 150,054.18

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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.