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Finding the Fourth Proportional to 108,005.76, 162,008.64 and 34,128

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Solution

The fourth proportional to 108,005.76, 162,008.64 and 34,128 is: 51,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,005.76 : 162,008.64 = 34,128 : x
  2. Step 2: Convert to fraction form
    108,005.76/162,008.64 = 34,128/x
  3. Step 3: Cross multiply
    108,005.76x = 162,008.64 × 34,128
  4. Step 4: Simplify right side
    108,005.76x = 5,529,030,865.92
  5. Step 5: Solve for x
    x = 5,529,030,865.92/108,005.76
  6. Step 6: Final answer
    x = 51,192

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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.