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Finding the Fourth Proportional to 107,090.40, 160,635.60 and 82,207.20

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Solution

The fourth proportional to 107,090.40, 160,635.60 and 82,207.20 is: 123,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,090.40 : 160,635.60 = 82,207.20 : x
  2. Step 2: Convert to fraction form
    107,090.40/160,635.60 = 82,207.20/x
  3. Step 3: Cross multiply
    107,090.40x = 160,635.60 × 82,207.20
  4. Step 4: Simplify right side
    107,090.40x = 13,205,402,896.32
  5. Step 5: Solve for x
    x = 13,205,402,896.32/107,090.40
  6. Step 6: Final answer
    x = 123,310.80

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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.