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Finding the Fourth Proportional to 129,069, 178,115.22 and 72,480.42

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Solution

The fourth proportional to 129,069, 178,115.22 and 72,480.42 is: 100,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,069 : 178,115.22 = 72,480.42 : x
  2. Step 2: Convert to fraction form
    129,069/178,115.22 = 72,480.42/x
  3. Step 3: Cross multiply
    129,069x = 178,115.22 × 72,480.42
  4. Step 4: Simplify right side
    129,069x = 12,909,865,953.99
  5. Step 5: Solve for x
    x = 12,909,865,953.99/129,069
  6. Step 6: Final answer
    x = 100,022.98

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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.