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Finding the Fourth Proportional to 72,980.38, 100,712.94 and 41,149.28

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Solution

The fourth proportional to 72,980.38, 100,712.94 and 41,149.28 is: 56,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,980.38 : 100,712.94 = 41,149.28 : x
  2. Step 2: Convert to fraction form
    72,980.38/100,712.94 = 41,149.28/x
  3. Step 3: Cross multiply
    72,980.38x = 100,712.94 × 41,149.28
  4. Step 4: Simplify right side
    72,980.38x = 4,144,265,065.16
  5. Step 5: Solve for x
    x = 4,144,265,065.16/72,980.38
  6. Step 6: Final answer
    x = 56,786.02

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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.