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Finding the Fourth Proportional to 72,153.30, 108,231.81 and 34,193.67

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Solution

The fourth proportional to 72,153.30, 108,231.81 and 34,193.67 is: 51,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,153.30 : 108,231.81 = 34,193.67 : x
  2. Step 2: Convert to fraction form
    72,153.30/108,231.81 = 34,193.67/x
  3. Step 3: Cross multiply
    72,153.30x = 108,231.81 × 34,193.67
  4. Step 4: Simplify right side
    72,153.30x = 3,700,842,794.64
  5. Step 5: Solve for x
    x = 3,700,842,794.64/72,153.30
  6. Step 6: Final answer
    x = 51,291.39

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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.