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Finding the Fourth Proportional to 71,781.23, 107,671.86 and 19,189.35

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Solution

The fourth proportional to 71,781.23, 107,671.86 and 19,189.35 is: 28,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.23 : 107,671.86 = 19,189.35 : x
  2. Step 2: Convert to fraction form
    71,781.23/107,671.86 = 19,189.35/x
  3. Step 3: Cross multiply
    71,781.23x = 107,671.86 × 19,189.35
  4. Step 4: Simplify right side
    71,781.23x = 2,066,153,006.69
  5. Step 5: Solve for x
    x = 2,066,153,006.69/71,781.23
  6. Step 6: Final answer
    x = 28,784.03

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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.