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Finding the Fourth Proportional to 48,212, 72,310.68 and 13,154.40

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Solution

The fourth proportional to 48,212, 72,310.68 and 13,154.40 is: 19,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,212 : 72,310.68 = 13,154.40 : x
  2. Step 2: Convert to fraction form
    48,212/72,310.68 = 13,154.40/x
  3. Step 3: Cross multiply
    48,212x = 72,310.68 × 13,154.40
  4. Step 4: Simplify right side
    48,212x = 951,203,608.99
  5. Step 5: Solve for x
    x = 951,203,608.99/48,212
  6. Step 6: Final answer
    x = 19,729.60

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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.