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Finding the Fourth Proportional to 84,107.70, 126,173.16 and 30,792.69

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Solution

The fourth proportional to 84,107.70, 126,173.16 and 30,792.69 is: 46,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,107.70 : 126,173.16 = 30,792.69 : x
  2. Step 2: Convert to fraction form
    84,107.70/126,173.16 = 30,792.69/x
  3. Step 3: Cross multiply
    84,107.70x = 126,173.16 × 30,792.69
  4. Step 4: Simplify right side
    84,107.70x = 3,885,211,002.20
  5. Step 5: Solve for x
    x = 3,885,211,002.20/84,107.70
  6. Step 6: Final answer
    x = 46,193.29

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1.5x scale

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.