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Finding the Fourth Proportional to 52,728.36, 79,123.68 and 19,471.68

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Solution

The fourth proportional to 52,728.36, 79,123.68 and 19,471.68 is: 29,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728.36 : 79,123.68 = 19,471.68 : x
  2. Step 2: Convert to fraction form
    52,728.36/79,123.68 = 19,471.68/x
  3. Step 3: Cross multiply
    52,728.36x = 79,123.68 × 19,471.68
  4. Step 4: Simplify right side
    52,728.36x = 1,540,670,977.38
  5. Step 5: Solve for x
    x = 1,540,670,977.38/52,728.36
  6. Step 6: Final answer
    x = 29,219.02

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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.