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Finding the Fourth Proportional to 53,099.56, 79,652.94 and 19,819

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Solution

The fourth proportional to 53,099.56, 79,652.94 and 19,819 is: 29,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,099.56 : 79,652.94 = 19,819 : x
  2. Step 2: Convert to fraction form
    53,099.56/79,652.94 = 19,819/x
  3. Step 3: Cross multiply
    53,099.56x = 79,652.94 × 19,819
  4. Step 4: Simplify right side
    53,099.56x = 1,578,641,617.86
  5. Step 5: Solve for x
    x = 1,578,641,617.86/53,099.56
  6. Step 6: Final answer
    x = 29,729.84

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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.