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Finding the Fourth Proportional to 161,406.40, 241,821.60 and 78,116.80

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Solution

The fourth proportional to 161,406.40, 241,821.60 and 78,116.80 is: 117,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,406.40 : 241,821.60 = 78,116.80 : x
  2. Step 2: Convert to fraction form
    161,406.40/241,821.60 = 78,116.80/x
  3. Step 3: Cross multiply
    161,406.40x = 241,821.60 × 78,116.80
  4. Step 4: Simplify right side
    161,406.40x = 18,890,329,562.88
  5. Step 5: Solve for x
    x = 18,890,329,562.88/161,406.40
  6. Step 6: Final answer
    x = 117,035.81

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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.