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Finding the Fourth Proportional to 122,543.80, 183,815.70 and 102,860.80

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Solution

The fourth proportional to 122,543.80, 183,815.70 and 102,860.80 is: 154,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,543.80 : 183,815.70 = 102,860.80 : x
  2. Step 2: Convert to fraction form
    122,543.80/183,815.70 = 102,860.80/x
  3. Step 3: Cross multiply
    122,543.80x = 183,815.70 × 102,860.80
  4. Step 4: Simplify right side
    122,543.80x = 18,907,429,954.56
  5. Step 5: Solve for x
    x = 18,907,429,954.56/122,543.80
  6. Step 6: Final answer
    x = 154,291.20

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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.