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Finding the Fourth Proportional to 72,573, 100,145.22 and 40,735.68

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Solution

The fourth proportional to 72,573, 100,145.22 and 40,735.68 is: 56,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,573 : 100,145.22 = 40,735.68 : x
  2. Step 2: Convert to fraction form
    72,573/100,145.22 = 40,735.68/x
  3. Step 3: Cross multiply
    72,573x = 100,145.22 × 40,735.68
  4. Step 4: Simplify right side
    72,573x = 4,079,483,635.45
  5. Step 5: Solve for x
    x = 4,079,483,635.45/72,573
  6. Step 6: Final answer
    x = 56,212.14

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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.