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Finding the Fourth Proportional to 72,138.67, 108,213.45 and 21,533.70

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Solution

The fourth proportional to 72,138.67, 108,213.45 and 21,533.70 is: 32,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,138.67 : 108,213.45 = 21,533.70 : x
  2. Step 2: Convert to fraction form
    72,138.67/108,213.45 = 21,533.70/x
  3. Step 3: Cross multiply
    72,138.67x = 108,213.45 × 21,533.70
  4. Step 4: Simplify right side
    72,138.67x = 2,330,236,009.15
  5. Step 5: Solve for x
    x = 2,330,236,009.15/72,138.67
  6. Step 6: Final answer
    x = 32,302.17

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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.