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Finding the Fourth Proportional to 67,838.73, 101,720.81 and 53,888.10

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Solution

The fourth proportional to 67,838.73, 101,720.81 and 53,888.10 is: 80,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838.73 : 101,720.81 = 53,888.10 : x
  2. Step 2: Convert to fraction form
    67,838.73/101,720.81 = 53,888.10/x
  3. Step 3: Cross multiply
    67,838.73x = 101,720.81 × 53,888.10
  4. Step 4: Simplify right side
    67,838.73x = 5,481,540,911.92
  5. Step 5: Solve for x
    x = 5,481,540,911.92/67,838.73
  6. Step 6: Final answer
    x = 80,802.53

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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.