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Finding the Fourth Proportional to 53,098.56, 79,651.44 and 19,818

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Solution

The fourth proportional to 53,098.56, 79,651.44 and 19,818 is: 29,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.56 : 79,651.44 = 19,818 : x
  2. Step 2: Convert to fraction form
    53,098.56/79,651.44 = 19,818/x
  3. Step 3: Cross multiply
    53,098.56x = 79,651.44 × 19,818
  4. Step 4: Simplify right side
    53,098.56x = 1,578,532,237.92
  5. Step 5: Solve for x
    x = 1,578,532,237.92/53,098.56
  6. Step 6: Final answer
    x = 29,728.34

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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.