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Finding the Fourth Proportional to 101,611.94, 140,231.86 and 61,335.50

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Solution

The fourth proportional to 101,611.94, 140,231.86 and 61,335.50 is: 84,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,611.94 : 140,231.86 = 61,335.50 : x
  2. Step 2: Convert to fraction form
    101,611.94/140,231.86 = 61,335.50/x
  3. Step 3: Cross multiply
    101,611.94x = 140,231.86 × 61,335.50
  4. Step 4: Simplify right side
    101,611.94x = 8,601,190,394.53
  5. Step 5: Solve for x
    x = 8,601,190,394.53/101,611.94
  6. Step 6: Final answer
    x = 84,647.44

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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.