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Finding the Fourth Proportional to 108,216.40, 162,324.60 and 78,494.80

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Solution

The fourth proportional to 108,216.40, 162,324.60 and 78,494.80 is: 117,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216.40 : 162,324.60 = 78,494.80 : x
  2. Step 2: Convert to fraction form
    108,216.40/162,324.60 = 78,494.80/x
  3. Step 3: Cross multiply
    108,216.40x = 162,324.60 × 78,494.80
  4. Step 4: Simplify right side
    108,216.40x = 12,741,637,012.08
  5. Step 5: Solve for x
    x = 12,741,637,012.08/108,216.40
  6. Step 6: Final answer
    x = 117,742.20

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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.