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Finding the Fourth Proportional to 129,409.40, 178,584.90 and 72,820.82

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Solution

The fourth proportional to 129,409.40, 178,584.90 and 72,820.82 is: 100,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,409.40 : 178,584.90 = 72,820.82 : x
  2. Step 2: Convert to fraction form
    129,409.40/178,584.90 = 72,820.82/x
  3. Step 3: Cross multiply
    129,409.40x = 178,584.90 × 72,820.82
  4. Step 4: Simplify right side
    129,409.40x = 13,004,698,857.62
  5. Step 5: Solve for x
    x = 13,004,698,857.62/129,409.40
  6. Step 6: Final answer
    x = 100,492.69

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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.