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Finding the Fourth Proportional to 107,708.80, 161,498.40 and 55,220.80

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Solution

The fourth proportional to 107,708.80, 161,498.40 and 55,220.80 is: 82,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,708.80 : 161,498.40 = 55,220.80 : x
  2. Step 2: Convert to fraction form
    107,708.80/161,498.40 = 55,220.80/x
  3. Step 3: Cross multiply
    107,708.80x = 161,498.40 × 55,220.80
  4. Step 4: Simplify right side
    107,708.80x = 8,918,070,846.72
  5. Step 5: Solve for x
    x = 8,918,070,846.72/107,708.80
  6. Step 6: Final answer
    x = 82,797.98

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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.