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Finding the Fourth Proportional to 48,699.81, 73,052.49 and 13,642.20

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Solution

The fourth proportional to 48,699.81, 73,052.49 and 13,642.20 is: 20,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,699.81 : 73,052.49 = 13,642.20 : x
  2. Step 2: Convert to fraction form
    48,699.81/73,052.49 = 13,642.20/x
  3. Step 3: Cross multiply
    48,699.81x = 73,052.49 × 13,642.20
  4. Step 4: Simplify right side
    48,699.81x = 996,596,679.08
  5. Step 5: Solve for x
    x = 996,596,679.08/48,699.81
  6. Step 6: Final answer
    x = 20,464.08

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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.