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Finding the Fourth Proportional to 108,643.70, 162,868.35 and 71,221.70

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Solution

The fourth proportional to 108,643.70, 162,868.35 and 71,221.70 is: 106,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.70 : 162,868.35 = 71,221.70 : x
  2. Step 2: Convert to fraction form
    108,643.70/162,868.35 = 71,221.70/x
  3. Step 3: Cross multiply
    108,643.70x = 162,868.35 × 71,221.70
  4. Step 4: Simplify right side
    108,643.70x = 11,599,760,763.20
  5. Step 5: Solve for x
    x = 11,599,760,763.20/108,643.70
  6. Step 6: Final answer
    x = 106,768.83

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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.