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Finding the Fourth Proportional to 56,642.82, 84,945.60 and 19,193.28

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Solution

The fourth proportional to 56,642.82, 84,945.60 and 19,193.28 is: 28,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642.82 : 84,945.60 = 19,193.28 : x
  2. Step 2: Convert to fraction form
    56,642.82/84,945.60 = 19,193.28/x
  3. Step 3: Cross multiply
    56,642.82x = 84,945.60 × 19,193.28
  4. Step 4: Simplify right side
    56,642.82x = 1,630,384,685.57
  5. Step 5: Solve for x
    x = 1,630,384,685.57/56,642.82
  6. Step 6: Final answer
    x = 28,783.61

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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.