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Finding the Fourth Proportional to 108,159, 162,340.26 and 54,889.22

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Solution

The fourth proportional to 108,159, 162,340.26 and 54,889.22 is: 82,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,159 : 162,340.26 = 54,889.22 : x
  2. Step 2: Convert to fraction form
    108,159/162,340.26 = 54,889.22/x
  3. Step 3: Cross multiply
    108,159x = 162,340.26 × 54,889.22
  4. Step 4: Simplify right side
    108,159x = 8,910,730,246.00
  5. Step 5: Solve for x
    x = 8,910,730,246.00/108,159
  6. Step 6: Final answer
    x = 82,385.47

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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.