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Finding the Fourth Proportional to 122,530.80, 183,796.20 and 102,847.80

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Solution

The fourth proportional to 122,530.80, 183,796.20 and 102,847.80 is: 154,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,530.80 : 183,796.20 = 102,847.80 : x
  2. Step 2: Convert to fraction form
    122,530.80/183,796.20 = 102,847.80/x
  3. Step 3: Cross multiply
    122,530.80x = 183,796.20 × 102,847.80
  4. Step 4: Simplify right side
    122,530.80x = 18,903,034,818.36
  5. Step 5: Solve for x
    x = 18,903,034,818.36/122,530.80
  6. Step 6: Final answer
    x = 154,271.70

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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.