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Finding the Fourth Proportional to 56,200, 84,304.86 and 14,647

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Solution

The fourth proportional to 56,200, 84,304.86 and 14,647 is: 21,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,200 : 84,304.86 = 14,647 : x
  2. Step 2: Convert to fraction form
    56,200/84,304.86 = 14,647/x
  3. Step 3: Cross multiply
    56,200x = 84,304.86 × 14,647
  4. Step 4: Simplify right side
    56,200x = 1,234,813,284.42
  5. Step 5: Solve for x
    x = 1,234,813,284.42/56,200
  6. Step 6: Final answer
    x = 21,971.77

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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.