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Finding the Fourth Proportional to 48,286, 72,438.72 and 16,697.28

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Solution

The fourth proportional to 48,286, 72,438.72 and 16,697.28 is: 25,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286 : 72,438.72 = 16,697.28 : x
  2. Step 2: Convert to fraction form
    48,286/72,438.72 = 16,697.28/x
  3. Step 3: Cross multiply
    48,286x = 72,438.72 × 16,697.28
  4. Step 4: Simplify right side
    48,286x = 1,209,529,590.68
  5. Step 5: Solve for x
    x = 1,209,529,590.68/48,286
  6. Step 6: Final answer
    x = 25,049.28

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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.