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Finding the Fourth Proportional to 122,313.84, 183,489 and 43,421.46

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Solution

The fourth proportional to 122,313.84, 183,489 and 43,421.46 is: 65,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,313.84 : 183,489 = 43,421.46 : x
  2. Step 2: Convert to fraction form
    122,313.84/183,489 = 43,421.46/x
  3. Step 3: Cross multiply
    122,313.84x = 183,489 × 43,421.46
  4. Step 4: Simplify right side
    122,313.84x = 7,967,360,273.94
  5. Step 5: Solve for x
    x = 7,967,360,273.94/122,313.84
  6. Step 6: Final answer
    x = 65,138.67

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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.