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Finding the Fourth Proportional to 50,979, 76,468.50 and 14,043

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Solution

The fourth proportional to 50,979, 76,468.50 and 14,043 is: 21,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 76,468.50 = 14,043 : x
  2. Step 2: Convert to fraction form
    50,979/76,468.50 = 14,043/x
  3. Step 3: Cross multiply
    50,979x = 76,468.50 × 14,043
  4. Step 4: Simplify right side
    50,979x = 1,073,847,145.50
  5. Step 5: Solve for x
    x = 1,073,847,145.50/50,979
  6. Step 6: Final answer
    x = 21,064.50

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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.