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Finding the Fourth Proportional to 108,045.80, 161,998.30 and 96,986.60

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Solution

The fourth proportional to 108,045.80, 161,998.30 and 96,986.60 is: 145,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045.80 : 161,998.30 = 96,986.60 : x
  2. Step 2: Convert to fraction form
    108,045.80/161,998.30 = 96,986.60/x
  3. Step 3: Cross multiply
    108,045.80x = 161,998.30 × 96,986.60
  4. Step 4: Simplify right side
    108,045.80x = 15,711,664,322.78
  5. Step 5: Solve for x
    x = 15,711,664,322.78/108,045.80
  6. Step 6: Final answer
    x = 145,416.71

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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.