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Finding the Fourth Proportional to 81,970.60, 122,783.10 and 68,146.60

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Solution

The fourth proportional to 81,970.60, 122,783.10 and 68,146.60 is: 102,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.60 : 122,783.10 = 68,146.60 : x
  2. Step 2: Convert to fraction form
    81,970.60/122,783.10 = 68,146.60/x
  3. Step 3: Cross multiply
    81,970.60x = 122,783.10 × 68,146.60
  4. Step 4: Simplify right side
    81,970.60x = 8,367,250,802.46
  5. Step 5: Solve for x
    x = 8,367,250,802.46/81,970.60
  6. Step 6: Final answer
    x = 102,076.24

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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.