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Finding the Fourth Proportional to 48,412.80, 72,532.80 and 40,982.40

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Solution

The fourth proportional to 48,412.80, 72,532.80 and 40,982.40 is: 61,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412.80 : 72,532.80 = 40,982.40 : x
  2. Step 2: Convert to fraction form
    48,412.80/72,532.80 = 40,982.40/x
  3. Step 3: Cross multiply
    48,412.80x = 72,532.80 × 40,982.40
  4. Step 4: Simplify right side
    48,412.80x = 2,972,568,222.72
  5. Step 5: Solve for x
    x = 2,972,568,222.72/48,412.80
  6. Step 6: Final answer
    x = 61,400.46

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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.