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Finding the Fourth Proportional to 107,712.80, 161,504.40 and 55,224.80

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Solution

The fourth proportional to 107,712.80, 161,504.40 and 55,224.80 is: 82,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712.80 : 161,504.40 = 55,224.80 : x
  2. Step 2: Convert to fraction form
    107,712.80/161,504.40 = 55,224.80/x
  3. Step 3: Cross multiply
    107,712.80x = 161,504.40 × 55,224.80
  4. Step 4: Simplify right side
    107,712.80x = 8,919,048,189.12
  5. Step 5: Solve for x
    x = 8,919,048,189.12/107,712.80
  6. Step 6: Final answer
    x = 82,803.98

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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.