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Finding the Fourth Proportional to 189,402.30, 284,212.80 and 71,085.60

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Solution

The fourth proportional to 189,402.30, 284,212.80 and 71,085.60 is: 106,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,402.30 : 284,212.80 = 71,085.60 : x
  2. Step 2: Convert to fraction form
    189,402.30/284,212.80 = 71,085.60/x
  3. Step 3: Cross multiply
    189,402.30x = 284,212.80 × 71,085.60
  4. Step 4: Simplify right side
    189,402.30x = 20,203,437,415.68
  5. Step 5: Solve for x
    x = 20,203,437,415.68/189,402.30
  6. Step 6: Final answer
    x = 106,669.44

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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.