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Finding the Fourth Proportional to 30,047.55, 45,056.03 and 10,049.86

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Solution

The fourth proportional to 30,047.55, 45,056.03 and 10,049.86 is: 15,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.55 : 45,056.03 = 10,049.86 : x
  2. Step 2: Convert to fraction form
    30,047.55/45,056.03 = 10,049.86/x
  3. Step 3: Cross multiply
    30,047.55x = 45,056.03 × 10,049.86
  4. Step 4: Simplify right side
    30,047.55x = 452,806,793.66
  5. Step 5: Solve for x
    x = 452,806,793.66/30,047.55
  6. Step 6: Final answer
    x = 15,069.67

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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.