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Finding the Fourth Proportional to 161,269.64, 241,821.12 and 72,447.20

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Solution

The fourth proportional to 161,269.64, 241,821.12 and 72,447.20 is: 108,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,269.64 : 241,821.12 = 72,447.20 : x
  2. Step 2: Convert to fraction form
    161,269.64/241,821.12 = 72,447.20/x
  3. Step 3: Cross multiply
    161,269.64x = 241,821.12 × 72,447.20
  4. Step 4: Simplify right side
    161,269.64x = 17,519,263,044.86
  5. Step 5: Solve for x
    x = 17,519,263,044.86/161,269.64
  6. Step 6: Final answer
    x = 108,633.36

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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.