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Finding the Fourth Proportional to 48,378.43, 72,595.67 and 20,296

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Solution

The fourth proportional to 48,378.43, 72,595.67 and 20,296 is: 30,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378.43 : 72,595.67 = 20,296 : x
  2. Step 2: Convert to fraction form
    48,378.43/72,595.67 = 20,296/x
  3. Step 3: Cross multiply
    48,378.43x = 72,595.67 × 20,296
  4. Step 4: Simplify right side
    48,378.43x = 1,473,401,718.32
  5. Step 5: Solve for x
    x = 1,473,401,718.32/48,378.43
  6. Step 6: Final answer
    x = 30,455.76

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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.