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Finding the Fourth Proportional to 75,410.76, 113,014.08 and 28,638.12

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Solution

The fourth proportional to 75,410.76, 113,014.08 and 28,638.12 is: 42,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,410.76 : 113,014.08 = 28,638.12 : x
  2. Step 2: Convert to fraction form
    75,410.76/113,014.08 = 28,638.12/x
  3. Step 3: Cross multiply
    75,410.76x = 113,014.08 × 28,638.12
  4. Step 4: Simplify right side
    75,410.76x = 3,236,510,784.73
  5. Step 5: Solve for x
    x = 3,236,510,784.73/75,410.76
  6. Step 6: Final answer
    x = 42,918.42

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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.