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Finding the Fourth Proportional to 70,759.17, 106,121.75 and 20,825.71

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Solution

The fourth proportional to 70,759.17, 106,121.75 and 20,825.71 is: 31,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,759.17 : 106,121.75 = 20,825.71 : x
  2. Step 2: Convert to fraction form
    70,759.17/106,121.75 = 20,825.71/x
  3. Step 3: Cross multiply
    70,759.17x = 106,121.75 × 20,825.71
  4. Step 4: Simplify right side
    70,759.17x = 2,210,060,420.76
  5. Step 5: Solve for x
    x = 2,210,060,420.76/70,759.17
  6. Step 6: Final answer
    x = 31,233.55

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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.