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Finding the Fourth Proportional to 198,994, 274,616.64 and 108,354.93

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Solution

The fourth proportional to 198,994, 274,616.64 and 108,354.93 is: 149,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,994 : 274,616.64 = 108,354.93 : x
  2. Step 2: Convert to fraction form
    198,994/274,616.64 = 108,354.93/x
  3. Step 3: Cross multiply
    198,994x = 274,616.64 × 108,354.93
  4. Step 4: Simplify right side
    198,994x = 29,756,066,804.04
  5. Step 5: Solve for x
    x = 29,756,066,804.04/198,994
  6. Step 6: Final answer
    x = 149,532.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.