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Finding the Fourth Proportional to 75,358, 103,998.90 and 41,824

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Solution

The fourth proportional to 75,358, 103,998.90 and 41,824 is: 57,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358 : 103,998.90 = 41,824 : x
  2. Step 2: Convert to fraction form
    75,358/103,998.90 = 41,824/x
  3. Step 3: Cross multiply
    75,358x = 103,998.90 × 41,824
  4. Step 4: Simplify right side
    75,358x = 4,349,649,993.60
  5. Step 5: Solve for x
    x = 4,349,649,993.60/75,358
  6. Step 6: Final answer
    x = 57,719.82

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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.