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Finding the Fourth Proportional to 108,078, 162,143.04 and 34,206

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Solution

The fourth proportional to 108,078, 162,143.04 and 34,206 is: 51,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,078 : 162,143.04 = 34,206 : x
  2. Step 2: Convert to fraction form
    108,078/162,143.04 = 34,206/x
  3. Step 3: Cross multiply
    108,078x = 162,143.04 × 34,206
  4. Step 4: Simplify right side
    108,078x = 5,546,264,826.24
  5. Step 5: Solve for x
    x = 5,546,264,826.24/108,078
  6. Step 6: Final answer
    x = 51,317.24

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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.