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Finding the Fourth Proportional to 70,498, 105,735.66 and 20,566.36

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Solution

The fourth proportional to 70,498, 105,735.66 and 20,566.36 is: 30,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498 : 105,735.66 = 20,566.36 : x
  2. Step 2: Convert to fraction form
    70,498/105,735.66 = 20,566.36/x
  3. Step 3: Cross multiply
    70,498x = 105,735.66 × 20,566.36
  4. Step 4: Simplify right side
    70,498x = 2,174,597,648.40
  5. Step 5: Solve for x
    x = 2,174,597,648.40/70,498
  6. Step 6: Final answer
    x = 30,846.23

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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.