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Finding the Fourth Proportional to 30,207, 45,334.80 and 15,419.85

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Solution

The fourth proportional to 30,207, 45,334.80 and 15,419.85 is: 23,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 45,334.80 = 15,419.85 : x
  2. Step 2: Convert to fraction form
    30,207/45,334.80 = 15,419.85/x
  3. Step 3: Cross multiply
    30,207x = 45,334.80 × 15,419.85
  4. Step 4: Simplify right side
    30,207x = 699,055,815.78
  5. Step 5: Solve for x
    x = 699,055,815.78/30,207
  6. Step 6: Final answer
    x = 23,142.18

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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.