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Finding the Fourth Proportional to 75,636, 104,403.60 and 45,828

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Solution

The fourth proportional to 75,636, 104,403.60 and 45,828 is: 63,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 104,403.60 = 45,828 : x
  2. Step 2: Convert to fraction form
    75,636/104,403.60 = 45,828/x
  3. Step 3: Cross multiply
    75,636x = 104,403.60 × 45,828
  4. Step 4: Simplify right side
    75,636x = 4,784,608,180.80
  5. Step 5: Solve for x
    x = 4,784,608,180.80/75,636
  6. Step 6: Final answer
    x = 63,258.34

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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.