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Finding the Fourth Proportional to 189,737.90, 284,606.85 and 71,435.78

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Solution

The fourth proportional to 189,737.90, 284,606.85 and 71,435.78 is: 107,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,737.90 : 284,606.85 = 71,435.78 : x
  2. Step 2: Convert to fraction form
    189,737.90/284,606.85 = 71,435.78/x
  3. Step 3: Cross multiply
    189,737.90x = 284,606.85 × 71,435.78
  4. Step 4: Simplify right side
    189,737.90x = 20,331,112,323.09
  5. Step 5: Solve for x
    x = 20,331,112,323.09/189,737.90
  6. Step 6: Final answer
    x = 107,153.67

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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.