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Finding the Fourth Proportional to 48,640.80, 72,961.20 and 47,984.70

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Solution

The fourth proportional to 48,640.80, 72,961.20 and 47,984.70 is: 71,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.80 : 72,961.20 = 47,984.70 : x
  2. Step 2: Convert to fraction form
    48,640.80/72,961.20 = 47,984.70/x
  3. Step 3: Cross multiply
    48,640.80x = 72,961.20 × 47,984.70
  4. Step 4: Simplify right side
    48,640.80x = 3,501,021,293.64
  5. Step 5: Solve for x
    x = 3,501,021,293.64/48,640.80
  6. Step 6: Final answer
    x = 71,977.05

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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.