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Finding the Fourth Proportional to 108,093.72, 162,002.34 and 45,678.36

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Solution

The fourth proportional to 108,093.72, 162,002.34 and 45,678.36 is: 68,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,093.72 : 162,002.34 = 45,678.36 : x
  2. Step 2: Convert to fraction form
    108,093.72/162,002.34 = 45,678.36/x
  3. Step 3: Cross multiply
    108,093.72x = 162,002.34 × 45,678.36
  4. Step 4: Simplify right side
    108,093.72x = 7,400,001,207.36
  5. Step 5: Solve for x
    x = 7,400,001,207.36/108,093.72
  6. Step 6: Final answer
    x = 68,459.12

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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.