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Finding the Fourth Proportional to 72,379.87, 108,569.85 and 19,785.40

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Solution

The fourth proportional to 72,379.87, 108,569.85 and 19,785.40 is: 29,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,379.87 : 108,569.85 = 19,785.40 : x
  2. Step 2: Convert to fraction form
    72,379.87/108,569.85 = 19,785.40/x
  3. Step 3: Cross multiply
    72,379.87x = 108,569.85 × 19,785.40
  4. Step 4: Simplify right side
    72,379.87x = 2,148,097,910.19
  5. Step 5: Solve for x
    x = 2,148,097,910.19/72,379.87
  6. Step 6: Final answer
    x = 29,678.11

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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.