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Finding the Fourth Proportional to 200,263.16, 276,361.80 and 115,378.40

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Solution

The fourth proportional to 200,263.16, 276,361.80 and 115,378.40 is: 159,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,263.16 : 276,361.80 = 115,378.40 : x
  2. Step 2: Convert to fraction form
    200,263.16/276,361.80 = 115,378.40/x
  3. Step 3: Cross multiply
    200,263.16x = 276,361.80 × 115,378.40
  4. Step 4: Simplify right side
    200,263.16x = 31,886,182,305.12
  5. Step 5: Solve for x
    x = 31,886,182,305.12/200,263.16
  6. Step 6: Final answer
    x = 159,221.41

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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.