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Finding the Fourth Proportional to 75,885.22, 113,840.18 and 28,504

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Solution

The fourth proportional to 75,885.22, 113,840.18 and 28,504 is: 42,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.22 : 113,840.18 = 28,504 : x
  2. Step 2: Convert to fraction form
    75,885.22/113,840.18 = 28,504/x
  3. Step 3: Cross multiply
    75,885.22x = 113,840.18 × 28,504
  4. Step 4: Simplify right side
    75,885.22x = 3,244,900,348.20
  5. Step 5: Solve for x
    x = 3,244,900,348.20/75,885.22
  6. Step 6: Final answer
    x = 42,760.64

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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.