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Finding the Fourth Proportional to 30,200.13, 45,302.42 and 8,013.02

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Solution

The fourth proportional to 30,200.13, 45,302.42 and 8,013.02 is: 12,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.13 : 45,302.42 = 8,013.02 : x
  2. Step 2: Convert to fraction form
    30,200.13/45,302.42 = 8,013.02/x
  3. Step 3: Cross multiply
    30,200.13x = 45,302.42 × 8,013.02
  4. Step 4: Simplify right side
    30,200.13x = 363,008,930.93
  5. Step 5: Solve for x
    x = 363,008,930.93/30,200.13
  6. Step 6: Final answer
    x = 12,020.11

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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.