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Finding the Fourth Proportional to 72,582.33, 100,163.69 and 40,751.30

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Solution

The fourth proportional to 72,582.33, 100,163.69 and 40,751.30 is: 56,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582.33 : 100,163.69 = 40,751.30 : x
  2. Step 2: Convert to fraction form
    72,582.33/100,163.69 = 40,751.30/x
  3. Step 3: Cross multiply
    72,582.33x = 100,163.69 × 40,751.30
  4. Step 4: Simplify right side
    72,582.33x = 4,081,800,779.77
  5. Step 5: Solve for x
    x = 4,081,800,779.77/72,582.33
  6. Step 6: Final answer
    x = 56,236.84

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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.