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Finding the Fourth Proportional to 201,106.94, 301,787.58 and 112,418.70

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Solution

The fourth proportional to 201,106.94, 301,787.58 and 112,418.70 is: 168,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,106.94 : 301,787.58 = 112,418.70 : x
  2. Step 2: Convert to fraction form
    201,106.94/301,787.58 = 112,418.70/x
  3. Step 3: Cross multiply
    201,106.94x = 301,787.58 × 112,418.70
  4. Step 4: Simplify right side
    201,106.94x = 33,926,567,419.75
  5. Step 5: Solve for x
    x = 33,926,567,419.75/201,106.94
  6. Step 6: Final answer
    x = 168,699.14

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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.