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Finding the Fourth Proportional to 101,525.92, 139,971.54 and 83,309.92

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Solution

The fourth proportional to 101,525.92, 139,971.54 and 83,309.92 is: 114,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,525.92 : 139,971.54 = 83,309.92 : x
  2. Step 2: Convert to fraction form
    101,525.92/139,971.54 = 83,309.92/x
  3. Step 3: Cross multiply
    101,525.92x = 139,971.54 × 83,309.92
  4. Step 4: Simplify right side
    101,525.92x = 11,661,017,799.68
  5. Step 5: Solve for x
    x = 11,661,017,799.68/101,525.92
  6. Step 6: Final answer
    x = 114,857.54

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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.