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Finding the Fourth Proportional to 72,806.76, 100,453.22 and 40,973.80

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Solution

The fourth proportional to 72,806.76, 100,453.22 and 40,973.80 is: 56,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.76 : 100,453.22 = 40,973.80 : x
  2. Step 2: Convert to fraction form
    72,806.76/100,453.22 = 40,973.80/x
  3. Step 3: Cross multiply
    72,806.76x = 100,453.22 × 40,973.80
  4. Step 4: Simplify right side
    72,806.76x = 4,115,950,145.64
  5. Step 5: Solve for x
    x = 4,115,950,145.64/72,806.76
  6. Step 6: Final answer
    x = 56,532.53

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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.