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Finding the Fourth Proportional to 64,892.92, 97,338.77 and 20,519.70

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Solution

The fourth proportional to 64,892.92, 97,338.77 and 20,519.70 is: 30,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,892.92 : 97,338.77 = 20,519.70 : x
  2. Step 2: Convert to fraction form
    64,892.92/97,338.77 = 20,519.70/x
  3. Step 3: Cross multiply
    64,892.92x = 97,338.77 × 20,519.70
  4. Step 4: Simplify right side
    64,892.92x = 1,997,361,872.08
  5. Step 5: Solve for x
    x = 1,997,361,872.08/64,892.92
  6. Step 6: Final answer
    x = 30,779.35

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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.