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Finding the Fourth Proportional to 201,167.10, 301,787.10 and 101,075.40

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Solution

The fourth proportional to 201,167.10, 301,787.10 and 101,075.40 is: 151,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,167.10 : 301,787.10 = 101,075.40 : x
  2. Step 2: Convert to fraction form
    201,167.10/301,787.10 = 101,075.40/x
  3. Step 3: Cross multiply
    201,167.10x = 301,787.10 × 101,075.40
  4. Step 4: Simplify right side
    201,167.10x = 30,503,251,847.34
  5. Step 5: Solve for x
    x = 30,503,251,847.34/201,167.10
  6. Step 6: Final answer
    x = 151,631.41

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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.