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Finding the Fourth Proportional to 218,771.58, 328,157.30 and 52,559.58

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Solution

The fourth proportional to 218,771.58, 328,157.30 and 52,559.58 is: 78,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,771.58 : 328,157.30 = 52,559.58 : x
  2. Step 2: Convert to fraction form
    218,771.58/328,157.30 = 52,559.58/x
  3. Step 3: Cross multiply
    218,771.58x = 328,157.30 × 52,559.58
  4. Step 4: Simplify right side
    218,771.58x = 17,247,811,076.10
  5. Step 5: Solve for x
    x = 17,247,811,076.10/218,771.58
  6. Step 6: Final answer
    x = 78,839.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.