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Finding the Fourth Proportional to 56,284, 77,679.21 and 32,406.82

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Solution

The fourth proportional to 56,284, 77,679.21 and 32,406.82 is: 44,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,284 : 77,679.21 = 32,406.82 : x
  2. Step 2: Convert to fraction form
    56,284/77,679.21 = 32,406.82/x
  3. Step 3: Cross multiply
    56,284x = 77,679.21 × 32,406.82
  4. Step 4: Simplify right side
    56,284x = 2,517,336,176.21
  5. Step 5: Solve for x
    x = 2,517,336,176.21/56,284
  6. Step 6: Final answer
    x = 44,725.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.