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Finding the Fourth Proportional to 189,771.99, 284,427.81 and 139,384.87

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Solution

The fourth proportional to 189,771.99, 284,427.81 and 139,384.87 is: 208,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771.99 : 284,427.81 = 139,384.87 : x
  2. Step 2: Convert to fraction form
    189,771.99/284,427.81 = 139,384.87/x
  3. Step 3: Cross multiply
    189,771.99x = 284,427.81 × 139,384.87
  4. Step 4: Simplify right side
    189,771.99x = 39,644,933,321.23
  5. Step 5: Solve for x
    x = 39,644,933,321.23/189,771.99
  6. Step 6: Final answer
    x = 208,908.24

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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.