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Finding the Fourth Proportional to 84,283.20, 116,380.80 and 56,116.80

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Solution

The fourth proportional to 84,283.20, 116,380.80 and 56,116.80 is: 77,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.20 : 116,380.80 = 56,116.80 : x
  2. Step 2: Convert to fraction form
    84,283.20/116,380.80 = 56,116.80/x
  3. Step 3: Cross multiply
    84,283.20x = 116,380.80 × 56,116.80
  4. Step 4: Simplify right side
    84,283.20x = 6,530,918,077.44
  5. Step 5: Solve for x
    x = 6,530,918,077.44/84,283.20
  6. Step 6: Final answer
    x = 77,487.78

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1.5x scale

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.