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Finding the Fourth Proportional to 75,315, 103,939.56 and 41,781

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Solution

The fourth proportional to 75,315, 103,939.56 and 41,781 is: 57,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315 : 103,939.56 = 41,781 : x
  2. Step 2: Convert to fraction form
    75,315/103,939.56 = 41,781/x
  3. Step 3: Cross multiply
    75,315x = 103,939.56 × 41,781
  4. Step 4: Simplify right side
    75,315x = 4,342,698,756.36
  5. Step 5: Solve for x
    x = 4,342,698,756.36/75,315
  6. Step 6: Final answer
    x = 57,660.48

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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.