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Finding the Fourth Proportional to 75,220, 103,813.96 and 43,388.20

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Solution

The fourth proportional to 75,220, 103,813.96 and 43,388.20 is: 59,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220 : 103,813.96 = 43,388.20 : x
  2. Step 2: Convert to fraction form
    75,220/103,813.96 = 43,388.20/x
  3. Step 3: Cross multiply
    75,220x = 103,813.96 × 43,388.20
  4. Step 4: Simplify right side
    75,220x = 4,504,300,859.27
  5. Step 5: Solve for x
    x = 4,504,300,859.27/75,220
  6. Step 6: Final answer
    x = 59,881.69

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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.