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Finding the Fourth Proportional to 189,109, 283,472.07 and 122,591.35

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Solution

The fourth proportional to 189,109, 283,472.07 and 122,591.35 is: 183,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,109 : 283,472.07 = 122,591.35 : x
  2. Step 2: Convert to fraction form
    189,109/283,472.07 = 122,591.35/x
  3. Step 3: Cross multiply
    189,109x = 283,472.07 × 122,591.35
  4. Step 4: Simplify right side
    189,109x = 34,751,223,748.59
  5. Step 5: Solve for x
    x = 34,751,223,748.59/189,109
  6. Step 6: Final answer
    x = 183,762.93

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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.