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Finding the Fourth Proportional to 122,109.70, 183,164.55 and 86,680.30

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Solution

The fourth proportional to 122,109.70, 183,164.55 and 86,680.30 is: 130,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.70 : 183,164.55 = 86,680.30 : x
  2. Step 2: Convert to fraction form
    122,109.70/183,164.55 = 86,680.30/x
  3. Step 3: Cross multiply
    122,109.70x = 183,164.55 × 86,680.30
  4. Step 4: Simplify right side
    122,109.70x = 15,876,758,143.37
  5. Step 5: Solve for x
    x = 15,876,758,143.37/122,109.70
  6. Step 6: Final answer
    x = 130,020.45

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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.