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Finding the Fourth Proportional to 75,090.71, 103,634.61 and 49,270.97

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Solution

The fourth proportional to 75,090.71, 103,634.61 and 49,270.97 is: 68,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,090.71 : 103,634.61 = 49,270.97 : x
  2. Step 2: Convert to fraction form
    75,090.71/103,634.61 = 49,270.97/x
  3. Step 3: Cross multiply
    75,090.71x = 103,634.61 × 49,270.97
  4. Step 4: Simplify right side
    75,090.71x = 5,106,177,760.27
  5. Step 5: Solve for x
    x = 5,106,177,760.27/75,090.71
  6. Step 6: Final answer
    x = 68,000.13

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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.