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Finding the Fourth Proportional to 30,168.41, 45,234.98 and 9,102.13

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Solution

The fourth proportional to 30,168.41, 45,234.98 and 9,102.13 is: 13,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.41 : 45,234.98 = 9,102.13 : x
  2. Step 2: Convert to fraction form
    30,168.41/45,234.98 = 9,102.13/x
  3. Step 3: Cross multiply
    30,168.41x = 45,234.98 × 9,102.13
  4. Step 4: Simplify right side
    30,168.41x = 411,734,887.70
  5. Step 5: Solve for x
    x = 411,734,887.70/30,168.41
  6. Step 6: Final answer
    x = 13,647.88

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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.