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Finding the Fourth Proportional to 169,978.10, 254,967.15 and 81,404.60

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Solution

The fourth proportional to 169,978.10, 254,967.15 and 81,404.60 is: 122,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,978.10 : 254,967.15 = 81,404.60 : x
  2. Step 2: Convert to fraction form
    169,978.10/254,967.15 = 81,404.60/x
  3. Step 3: Cross multiply
    169,978.10x = 254,967.15 × 81,404.60
  4. Step 4: Simplify right side
    169,978.10x = 20,755,498,858.89
  5. Step 5: Solve for x
    x = 20,755,498,858.89/169,978.10
  6. Step 6: Final answer
    x = 122,106.90

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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.