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Finding the Fourth Proportional to 189,861.51, 284,808.60 and 49,620

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Solution

The fourth proportional to 189,861.51, 284,808.60 and 49,620 is: 74,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,861.51 : 284,808.60 = 49,620 : x
  2. Step 2: Convert to fraction form
    189,861.51/284,808.60 = 49,620/x
  3. Step 3: Cross multiply
    189,861.51x = 284,808.60 × 49,620
  4. Step 4: Simplify right side
    189,861.51x = 14,132,202,732.00
  5. Step 5: Solve for x
    x = 14,132,202,732.00/189,861.51
  6. Step 6: Final answer
    x = 74,434.27

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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.