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Finding the Fourth Proportional to 67,209.76, 100,779.78 and 19,818.61

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Solution

The fourth proportional to 67,209.76, 100,779.78 and 19,818.61 is: 29,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,209.76 : 100,779.78 = 19,818.61 : x
  2. Step 2: Convert to fraction form
    67,209.76/100,779.78 = 19,818.61/x
  3. Step 3: Cross multiply
    67,209.76x = 100,779.78 × 19,818.61
  4. Step 4: Simplify right side
    67,209.76x = 1,997,315,155.71
  5. Step 5: Solve for x
    x = 1,997,315,155.71/67,209.76
  6. Step 6: Final answer
    x = 29,717.64

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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.