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Finding the Fourth Proportional to 189,735.90, 284,603.85 and 71,433.78

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Solution

The fourth proportional to 189,735.90, 284,603.85 and 71,433.78 is: 107,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.90 : 284,603.85 = 71,433.78 : x
  2. Step 2: Convert to fraction form
    189,735.90/284,603.85 = 71,433.78/x
  3. Step 3: Cross multiply
    189,735.90x = 284,603.85 × 71,433.78
  4. Step 4: Simplify right side
    189,735.90x = 20,330,328,808.05
  5. Step 5: Solve for x
    x = 20,330,328,808.05/189,735.90
  6. Step 6: Final answer
    x = 107,150.67

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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.