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Finding the Fourth Proportional to 65,938, 90,994.44 and 36,129.36

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Solution

The fourth proportional to 65,938, 90,994.44 and 36,129.36 is: 49,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,938 : 90,994.44 = 36,129.36 : x
  2. Step 2: Convert to fraction form
    65,938/90,994.44 = 36,129.36/x
  3. Step 3: Cross multiply
    65,938x = 90,994.44 × 36,129.36
  4. Step 4: Simplify right side
    65,938x = 3,287,570,880.76
  5. Step 5: Solve for x
    x = 3,287,570,880.76/65,938
  6. Step 6: Final answer
    x = 49,858.52

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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.