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Finding the Fourth Proportional to 122,678.65, 183,722.68 and 83,115.82

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Solution

The fourth proportional to 122,678.65, 183,722.68 and 83,115.82 is: 124,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,678.65 : 183,722.68 = 83,115.82 : x
  2. Step 2: Convert to fraction form
    122,678.65/183,722.68 = 83,115.82/x
  3. Step 3: Cross multiply
    122,678.65x = 183,722.68 × 83,115.82
  4. Step 4: Simplify right side
    122,678.65x = 15,270,261,534.35
  5. Step 5: Solve for x
    x = 15,270,261,534.35/122,678.65
  6. Step 6: Final answer
    x = 124,473.67

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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.