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Finding the Fourth Proportional to 30,680.20, 45,998.70 and 14,048.20

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Solution

The fourth proportional to 30,680.20, 45,998.70 and 14,048.20 is: 21,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.20 : 45,998.70 = 14,048.20 : x
  2. Step 2: Convert to fraction form
    30,680.20/45,998.70 = 14,048.20/x
  3. Step 3: Cross multiply
    30,680.20x = 45,998.70 × 14,048.20
  4. Step 4: Simplify right side
    30,680.20x = 646,198,937.34
  5. Step 5: Solve for x
    x = 646,198,937.34/30,680.20
  6. Step 6: Final answer
    x = 21,062.41

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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.