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Finding the Fourth Proportional to 75,641.52, 113,383.08 and 28,236

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Solution

The fourth proportional to 75,641.52, 113,383.08 and 28,236 is: 42,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.52 : 113,383.08 = 28,236 : x
  2. Step 2: Convert to fraction form
    75,641.52/113,383.08 = 28,236/x
  3. Step 3: Cross multiply
    75,641.52x = 113,383.08 × 28,236
  4. Step 4: Simplify right side
    75,641.52x = 3,201,484,646.88
  5. Step 5: Solve for x
    x = 3,201,484,646.88/75,641.52
  6. Step 6: Final answer
    x = 42,324.44

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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.