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Finding the Fourth Proportional to 48,619.80, 72,942 and 13,559.46

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Solution

The fourth proportional to 48,619.80, 72,942 and 13,559.46 is: 20,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,619.80 : 72,942 = 13,559.46 : x
  2. Step 2: Convert to fraction form
    48,619.80/72,942 = 13,559.46/x
  3. Step 3: Cross multiply
    48,619.80x = 72,942 × 13,559.46
  4. Step 4: Simplify right side
    48,619.80x = 989,054,131.32
  5. Step 5: Solve for x
    x = 989,054,131.32/48,619.80
  6. Step 6: Final answer
    x = 20,342.62

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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.