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Finding the Fourth Proportional to 189,771.64, 284,438.30 and 71,367.40

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Solution

The fourth proportional to 189,771.64, 284,438.30 and 71,367.40 is: 106,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771.64 : 284,438.30 = 71,367.40 : x
  2. Step 2: Convert to fraction form
    189,771.64/284,438.30 = 71,367.40/x
  3. Step 3: Cross multiply
    189,771.64x = 284,438.30 × 71,367.40
  4. Step 4: Simplify right side
    189,771.64x = 20,299,621,931.42
  5. Step 5: Solve for x
    x = 20,299,621,931.42/189,771.64
  6. Step 6: Final answer
    x = 106,968.68

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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.