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Finding the Fourth Proportional to 201,138.34, 301,702.84 and 101,271.72

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Solution

The fourth proportional to 201,138.34, 301,702.84 and 101,271.72 is: 151,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.34 : 301,702.84 = 101,271.72 : x
  2. Step 2: Convert to fraction form
    201,138.34/301,702.84 = 101,271.72/x
  3. Step 3: Cross multiply
    201,138.34x = 301,702.84 × 101,271.72
  4. Step 4: Simplify right side
    201,138.34x = 30,553,965,535.68
  5. Step 5: Solve for x
    x = 30,553,965,535.68/201,138.34
  6. Step 6: Final answer
    x = 151,905.23

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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.