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Finding the Fourth Proportional to 52,349.87, 78,479.44 and 21,164.87

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Solution

The fourth proportional to 52,349.87, 78,479.44 and 21,164.87 is: 31,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.87 : 78,479.44 = 21,164.87 : x
  2. Step 2: Convert to fraction form
    52,349.87/78,479.44 = 21,164.87/x
  3. Step 3: Cross multiply
    52,349.87x = 78,479.44 × 21,164.87
  4. Step 4: Simplify right side
    52,349.87x = 1,661,007,145.27
  5. Step 5: Solve for x
    x = 1,661,007,145.27/52,349.87
  6. Step 6: Final answer
    x = 31,728.96

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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.