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Finding the Fourth Proportional to 81,780.60, 122,525.10 and 70,116.60

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Solution

The fourth proportional to 81,780.60, 122,525.10 and 70,116.60 is: 105,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780.60 : 122,525.10 = 70,116.60 : x
  2. Step 2: Convert to fraction form
    81,780.60/122,525.10 = 70,116.60/x
  3. Step 3: Cross multiply
    81,780.60x = 122,525.10 × 70,116.60
  4. Step 4: Simplify right side
    81,780.60x = 8,591,043,426.66
  5. Step 5: Solve for x
    x = 8,591,043,426.66/81,780.60
  6. Step 6: Final answer
    x = 105,049.89

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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.