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Finding the Fourth Proportional to 189,570.16, 284,311.50 and 71,253.46

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Solution

The fourth proportional to 189,570.16, 284,311.50 and 71,253.46 is: 106,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,570.16 : 284,311.50 = 71,253.46 : x
  2. Step 2: Convert to fraction form
    189,570.16/284,311.50 = 71,253.46/x
  3. Step 3: Cross multiply
    189,570.16x = 284,311.50 × 71,253.46
  4. Step 4: Simplify right side
    189,570.16x = 20,258,178,092.79
  5. Step 5: Solve for x
    x = 20,258,178,092.79/189,570.16
  6. Step 6: Final answer
    x = 106,863.75

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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.