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Finding the Fourth Proportional to 72,354.86, 108,530.85 and 19,768.94

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Solution

The fourth proportional to 72,354.86, 108,530.85 and 19,768.94 is: 29,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,354.86 : 108,530.85 = 19,768.94 : x
  2. Step 2: Convert to fraction form
    72,354.86/108,530.85 = 19,768.94/x
  3. Step 3: Cross multiply
    72,354.86x = 108,530.85 × 19,768.94
  4. Step 4: Simplify right side
    72,354.86x = 2,145,539,861.80
  5. Step 5: Solve for x
    x = 2,145,539,861.80/72,354.86
  6. Step 6: Final answer
    x = 29,653.02

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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.