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Finding the Fourth Proportional to 101,647.94, 140,297.56 and 67,657.77

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Solution

The fourth proportional to 101,647.94, 140,297.56 and 67,657.77 is: 93,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.94 : 140,297.56 = 67,657.77 : x
  2. Step 2: Convert to fraction form
    101,647.94/140,297.56 = 67,657.77/x
  3. Step 3: Cross multiply
    101,647.94x = 140,297.56 × 67,657.77
  4. Step 4: Simplify right side
    101,647.94x = 9,492,219,876.90
  5. Step 5: Solve for x
    x = 9,492,219,876.90/101,647.94
  6. Step 6: Final answer
    x = 93,383.30

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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.