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Finding the Fourth Proportional to 78,571.76, 117,854.46 and 19,405.91

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Solution

The fourth proportional to 78,571.76, 117,854.46 and 19,405.91 is: 29,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571.76 : 117,854.46 = 19,405.91 : x
  2. Step 2: Convert to fraction form
    78,571.76/117,854.46 = 19,405.91/x
  3. Step 3: Cross multiply
    78,571.76x = 117,854.46 × 19,405.91
  4. Step 4: Simplify right side
    78,571.76x = 2,287,073,338.49
  5. Step 5: Solve for x
    x = 2,287,073,338.49/78,571.76
  6. Step 6: Final answer
    x = 29,108.09

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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.