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Finding the Fourth Proportional to 75,378.16, 104,017.80 and 41,842

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Solution

The fourth proportional to 75,378.16, 104,017.80 and 41,842 is: 57,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378.16 : 104,017.80 = 41,842 : x
  2. Step 2: Convert to fraction form
    75,378.16/104,017.80 = 41,842/x
  3. Step 3: Cross multiply
    75,378.16x = 104,017.80 × 41,842
  4. Step 4: Simplify right side
    75,378.16x = 4,352,312,787.60
  5. Step 5: Solve for x
    x = 4,352,312,787.60/75,378.16
  6. Step 6: Final answer
    x = 57,739.71

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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.