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Finding the Fourth Proportional to 78,197.72, 107,974.97 and 72,227.21

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Solution

The fourth proportional to 78,197.72, 107,974.97 and 72,227.21 is: 99,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.72 : 107,974.97 = 72,227.21 : x
  2. Step 2: Convert to fraction form
    78,197.72/107,974.97 = 72,227.21/x
  3. Step 3: Cross multiply
    78,197.72x = 107,974.97 × 72,227.21
  4. Step 4: Simplify right side
    78,197.72x = 7,798,730,832.93
  5. Step 5: Solve for x
    x = 7,798,730,832.93/78,197.72
  6. Step 6: Final answer
    x = 99,730.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.