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Finding the Fourth Proportional to 48,471.98, 72,678.20 and 18,855.32

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Solution

The fourth proportional to 48,471.98, 72,678.20 and 18,855.32 is: 28,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.98 : 72,678.20 = 18,855.32 : x
  2. Step 2: Convert to fraction form
    48,471.98/72,678.20 = 18,855.32/x
  3. Step 3: Cross multiply
    48,471.98x = 72,678.20 × 18,855.32
  4. Step 4: Simplify right side
    48,471.98x = 1,370,370,260.36
  5. Step 5: Solve for x
    x = 1,370,370,260.36/48,471.98
  6. Step 6: Final answer
    x = 28,271.39

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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.