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Finding the Fourth Proportional to 200,398, 276,549.32 and 110,974

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Solution

The fourth proportional to 200,398, 276,549.32 and 110,974 is: 153,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,398 : 276,549.32 = 110,974 : x
  2. Step 2: Convert to fraction form
    200,398/276,549.32 = 110,974/x
  3. Step 3: Cross multiply
    200,398x = 276,549.32 × 110,974
  4. Step 4: Simplify right side
    200,398x = 30,689,784,237.68
  5. Step 5: Solve for x
    x = 30,689,784,237.68/200,398
  6. Step 6: Final answer
    x = 153,144.16

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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.