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Finding the Fourth Proportional to 78,239.73, 117,359.60 and 19,075.91

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Solution

The fourth proportional to 78,239.73, 117,359.60 and 19,075.91 is: 28,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239.73 : 117,359.60 = 19,075.91 : x
  2. Step 2: Convert to fraction form
    78,239.73/117,359.60 = 19,075.91/x
  3. Step 3: Cross multiply
    78,239.73x = 117,359.60 × 19,075.91
  4. Step 4: Simplify right side
    78,239.73x = 2,238,741,145.21
  5. Step 5: Solve for x
    x = 2,238,741,145.21/78,239.73
  6. Step 6: Final answer
    x = 28,613.87

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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.