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Finding the Fourth Proportional to 48,034.50, 72,080.91 and 20,332.50

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Solution

The fourth proportional to 48,034.50, 72,080.91 and 20,332.50 is: 30,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,034.50 : 72,080.91 = 20,332.50 : x
  2. Step 2: Convert to fraction form
    48,034.50/72,080.91 = 20,332.50/x
  3. Step 3: Cross multiply
    48,034.50x = 72,080.91 × 20,332.50
  4. Step 4: Simplify right side
    48,034.50x = 1,465,585,102.58
  5. Step 5: Solve for x
    x = 1,465,585,102.58/48,034.50
  6. Step 6: Final answer
    x = 30,511.09

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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.