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Finding the Fourth Proportional to 72,071.84, 108,107.76 and 22,820

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Solution

The fourth proportional to 72,071.84, 108,107.76 and 22,820 is: 34,230

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,071.84 : 108,107.76 = 22,820 : x
  2. Step 2: Convert to fraction form
    72,071.84/108,107.76 = 22,820/x
  3. Step 3: Cross multiply
    72,071.84x = 108,107.76 × 22,820
  4. Step 4: Simplify right side
    72,071.84x = 2,467,019,083.20
  5. Step 5: Solve for x
    x = 2,467,019,083.20/72,071.84
  6. Step 6: Final answer
    x = 34,230

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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.