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Finding the Fourth Proportional to 101,896.92, 140,619.38 and 56,577.83

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Solution

The fourth proportional to 101,896.92, 140,619.38 and 56,577.83 is: 78,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,896.92 : 140,619.38 = 56,577.83 : x
  2. Step 2: Convert to fraction form
    101,896.92/140,619.38 = 56,577.83/x
  3. Step 3: Cross multiply
    101,896.92x = 140,619.38 × 56,577.83
  4. Step 4: Simplify right side
    101,896.92x = 7,955,938,390.36
  5. Step 5: Solve for x
    x = 7,955,938,390.36/101,896.92
  6. Step 6: Final answer
    x = 78,078.30

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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.