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Finding the Fourth Proportional to 201,015.78, 301,523.37 and 156,675.78

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Solution

The fourth proportional to 201,015.78, 301,523.37 and 156,675.78 is: 235,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,015.78 : 301,523.37 = 156,675.78 : x
  2. Step 2: Convert to fraction form
    201,015.78/301,523.37 = 156,675.78/x
  3. Step 3: Cross multiply
    201,015.78x = 301,523.37 × 156,675.78
  4. Step 4: Simplify right side
    201,015.78x = 47,241,409,182.98
  5. Step 5: Solve for x
    x = 47,241,409,182.98/201,015.78
  6. Step 6: Final answer
    x = 235,013.44

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1.5x scale

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.