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Finding the Fourth Proportional to 30,194.80, 45,309.84 and 12,663.16

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Solution

The fourth proportional to 30,194.80, 45,309.84 and 12,663.16 is: 19,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.80 : 45,309.84 = 12,663.16 : x
  2. Step 2: Convert to fraction form
    30,194.80/45,309.84 = 12,663.16/x
  3. Step 3: Cross multiply
    30,194.80x = 45,309.84 × 12,663.16
  4. Step 4: Simplify right side
    30,194.80x = 573,765,753.49
  5. Step 5: Solve for x
    x = 573,765,753.49/30,194.80
  6. Step 6: Final answer
    x = 19,002.14

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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.