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Finding the Fourth Proportional to 73,143.63, 100,938.57 and 40,878.78

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Solution

The fourth proportional to 73,143.63, 100,938.57 and 40,878.78 is: 56,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143.63 : 100,938.57 = 40,878.78 : x
  2. Step 2: Convert to fraction form
    73,143.63/100,938.57 = 40,878.78/x
  3. Step 3: Cross multiply
    73,143.63x = 100,938.57 × 40,878.78
  4. Step 4: Simplify right side
    73,143.63x = 4,126,245,596.54
  5. Step 5: Solve for x
    x = 4,126,245,596.54/73,143.63
  6. Step 6: Final answer
    x = 56,412.92

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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.