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Finding the Fourth Proportional to 75,342, 103,975.20 and 41,808

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Solution

The fourth proportional to 75,342, 103,975.20 and 41,808 is: 57,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 103,975.20 = 41,808 : x
  2. Step 2: Convert to fraction form
    75,342/103,975.20 = 41,808/x
  3. Step 3: Cross multiply
    75,342x = 103,975.20 × 41,808
  4. Step 4: Simplify right side
    75,342x = 4,346,995,161.60
  5. Step 5: Solve for x
    x = 4,346,995,161.60/75,342
  6. Step 6: Final answer
    x = 57,696.84

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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.