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Finding the Fourth Proportional to 108,100, 162,150.72 and 34,228

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Solution

The fourth proportional to 108,100, 162,150.72 and 34,228 is: 51,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,100 : 162,150.72 = 34,228 : x
  2. Step 2: Convert to fraction form
    108,100/162,150.72 = 34,228/x
  3. Step 3: Cross multiply
    108,100x = 162,150.72 × 34,228
  4. Step 4: Simplify right side
    108,100x = 5,550,094,844.16
  5. Step 5: Solve for x
    x = 5,550,094,844.16/108,100
  6. Step 6: Final answer
    x = 51,342.23

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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.