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Finding the Fourth Proportional to 65,322.83, 90,161.84 and 40,157.75

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Solution

The fourth proportional to 65,322.83, 90,161.84 and 40,157.75 is: 55,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.83 : 90,161.84 = 40,157.75 : x
  2. Step 2: Convert to fraction form
    65,322.83/90,161.84 = 40,157.75/x
  3. Step 3: Cross multiply
    65,322.83x = 90,161.84 × 40,157.75
  4. Step 4: Simplify right side
    65,322.83x = 3,620,696,429.47
  5. Step 5: Solve for x
    x = 3,620,696,429.47/65,322.83
  6. Step 6: Final answer
    x = 55,427.73

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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.