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Finding the Fourth Proportional to 48,405.70, 66,816.21 and 30,530.50

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Solution

The fourth proportional to 48,405.70, 66,816.21 and 30,530.50 is: 42,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,405.70 : 66,816.21 = 30,530.50 : x
  2. Step 2: Convert to fraction form
    48,405.70/66,816.21 = 30,530.50/x
  3. Step 3: Cross multiply
    48,405.70x = 66,816.21 × 30,530.50
  4. Step 4: Simplify right side
    48,405.70x = 2,039,932,299.41
  5. Step 5: Solve for x
    x = 2,039,932,299.41/48,405.70
  6. Step 6: Final answer
    x = 42,142.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.