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Finding the Fourth Proportional to 40,878.80, 61,318.20 and 30,381.20

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Solution

The fourth proportional to 40,878.80, 61,318.20 and 30,381.20 is: 45,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,878.80 : 61,318.20 = 30,381.20 : x
  2. Step 2: Convert to fraction form
    40,878.80/61,318.20 = 30,381.20/x
  3. Step 3: Cross multiply
    40,878.80x = 61,318.20 × 30,381.20
  4. Step 4: Simplify right side
    40,878.80x = 1,862,920,497.84
  5. Step 5: Solve for x
    x = 1,862,920,497.84/40,878.80
  6. Step 6: Final answer
    x = 45,571.80

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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.