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Finding the Fourth Proportional to 189,466.36, 284,138 and 63,072.68

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Solution

The fourth proportional to 189,466.36, 284,138 and 63,072.68 is: 94,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.36 : 284,138 = 63,072.68 : x
  2. Step 2: Convert to fraction form
    189,466.36/284,138 = 63,072.68/x
  3. Step 3: Cross multiply
    189,466.36x = 284,138 × 63,072.68
  4. Step 4: Simplify right side
    189,466.36x = 17,921,345,149.84
  5. Step 5: Solve for x
    x = 17,921,345,149.84/189,466.36
  6. Step 6: Final answer
    x = 94,588.53

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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.