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Finding the Fourth Proportional to 48,486.02, 72,729.03 and 13,424.90

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Solution

The fourth proportional to 48,486.02, 72,729.03 and 13,424.90 is: 20,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486.02 : 72,729.03 = 13,424.90 : x
  2. Step 2: Convert to fraction form
    48,486.02/72,729.03 = 13,424.90/x
  3. Step 3: Cross multiply
    48,486.02x = 72,729.03 × 13,424.90
  4. Step 4: Simplify right side
    48,486.02x = 976,379,954.85
  5. Step 5: Solve for x
    x = 976,379,954.85/48,486.02
  6. Step 6: Final answer
    x = 20,137.35

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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.