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Finding the Fourth Proportional to 78,184.82, 117,276.09 and 19,020.59

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Solution

The fourth proportional to 78,184.82, 117,276.09 and 19,020.59 is: 28,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,184.82 : 117,276.09 = 19,020.59 : x
  2. Step 2: Convert to fraction form
    78,184.82/117,276.09 = 19,020.59/x
  3. Step 3: Cross multiply
    78,184.82x = 117,276.09 × 19,020.59
  4. Step 4: Simplify right side
    78,184.82x = 2,230,659,838.31
  5. Step 5: Solve for x
    x = 2,230,659,838.31/78,184.82
  6. Step 6: Final answer
    x = 28,530.60

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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.