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Finding the Fourth Proportional to 201,116, 301,801.06 and 112,427.68

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Solution

The fourth proportional to 201,116, 301,801.06 and 112,427.68 is: 168,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116 : 301,801.06 = 112,427.68 : x
  2. Step 2: Convert to fraction form
    201,116/301,801.06 = 112,427.68/x
  3. Step 3: Cross multiply
    201,116x = 301,801.06 × 112,427.68
  4. Step 4: Simplify right side
    201,116x = 33,930,792,997.34
  5. Step 5: Solve for x
    x = 33,930,792,997.34/201,116
  6. Step 6: Final answer
    x = 168,712.55

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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.