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Finding the Fourth Proportional to 76,558.61, 114,843.72 and 20,398.52

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Solution

The fourth proportional to 76,558.61, 114,843.72 and 20,398.52 is: 30,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,558.61 : 114,843.72 = 20,398.52 : x
  2. Step 2: Convert to fraction form
    76,558.61/114,843.72 = 20,398.52/x
  3. Step 3: Cross multiply
    76,558.61x = 114,843.72 × 20,398.52
  4. Step 4: Simplify right side
    76,558.61x = 2,342,641,919.29
  5. Step 5: Solve for x
    x = 2,342,641,919.29/76,558.61
  6. Step 6: Final answer
    x = 30,599.33

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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.