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Finding the Fourth Proportional to 108,419.36, 162,722.46 and 75,162.78

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Solution

The fourth proportional to 108,419.36, 162,722.46 and 75,162.78 is: 112,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,419.36 : 162,722.46 = 75,162.78 : x
  2. Step 2: Convert to fraction form
    108,419.36/162,722.46 = 75,162.78/x
  3. Step 3: Cross multiply
    108,419.36x = 162,722.46 × 75,162.78
  4. Step 4: Simplify right side
    108,419.36x = 12,230,672,462.04
  5. Step 5: Solve for x
    x = 12,230,672,462.04/108,419.36
  6. Step 6: Final answer
    x = 112,808.93

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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.