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Finding the Fourth Proportional to 52,771.88, 79,157 and 21,189.98

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Solution

The fourth proportional to 52,771.88, 79,157 and 21,189.98 is: 31,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.88 : 79,157 = 21,189.98 : x
  2. Step 2: Convert to fraction form
    52,771.88/79,157 = 21,189.98/x
  3. Step 3: Cross multiply
    52,771.88x = 79,157 × 21,189.98
  4. Step 4: Simplify right side
    52,771.88x = 1,677,335,246.86
  5. Step 5: Solve for x
    x = 1,677,335,246.86/52,771.88
  6. Step 6: Final answer
    x = 31,784.64

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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.