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Finding the Fourth Proportional to 48,311.40, 72,467.10 and 36,647.40

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Solution

The fourth proportional to 48,311.40, 72,467.10 and 36,647.40 is: 54,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,311.40 : 72,467.10 = 36,647.40 : x
  2. Step 2: Convert to fraction form
    48,311.40/72,467.10 = 36,647.40/x
  3. Step 3: Cross multiply
    48,311.40x = 72,467.10 × 36,647.40
  4. Step 4: Simplify right side
    48,311.40x = 2,655,730,800.54
  5. Step 5: Solve for x
    x = 2,655,730,800.54/48,311.40
  6. Step 6: Final answer
    x = 54,971.10

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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.