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Finding the Fourth Proportional to 78,170.73, 117,256.10 and 19,006.44

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Solution

The fourth proportional to 78,170.73, 117,256.10 and 19,006.44 is: 28,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.73 : 117,256.10 = 19,006.44 : x
  2. Step 2: Convert to fraction form
    78,170.73/117,256.10 = 19,006.44/x
  3. Step 3: Cross multiply
    78,170.73x = 117,256.10 × 19,006.44
  4. Step 4: Simplify right side
    78,170.73x = 2,228,620,934.25
  5. Step 5: Solve for x
    x = 2,228,620,934.25/78,170.73
  6. Step 6: Final answer
    x = 28,509.66

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1.5x scale

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.