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Finding the Fourth Proportional to 122,784.96, 169,467.44 and 79,817.68

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Solution

The fourth proportional to 122,784.96, 169,467.44 and 79,817.68 is: 110,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784.96 : 169,467.44 = 79,817.68 : x
  2. Step 2: Convert to fraction form
    122,784.96/169,467.44 = 79,817.68/x
  3. Step 3: Cross multiply
    122,784.96x = 169,467.44 × 79,817.68
  4. Step 4: Simplify right side
    122,784.96x = 13,526,497,896.34
  5. Step 5: Solve for x
    x = 13,526,497,896.34/122,784.96
  6. Step 6: Final answer
    x = 110,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.