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Finding the Fourth Proportional to 200,705.76, 276,963.12 and 111,276

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Solution

The fourth proportional to 200,705.76, 276,963.12 and 111,276 is: 153,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,705.76 : 276,963.12 = 111,276 : x
  2. Step 2: Convert to fraction form
    200,705.76/276,963.12 = 111,276/x
  3. Step 3: Cross multiply
    200,705.76x = 276,963.12 × 111,276
  4. Step 4: Simplify right side
    200,705.76x = 30,819,348,141.12
  5. Step 5: Solve for x
    x = 30,819,348,141.12/200,705.76
  6. Step 6: Final answer
    x = 153,554.88

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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.