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Finding the Fourth Proportional to 129,509.34, 178,735.68 and 75,791.15

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Solution

The fourth proportional to 129,509.34, 178,735.68 and 75,791.15 is: 104,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,509.34 : 178,735.68 = 75,791.15 : x
  2. Step 2: Convert to fraction form
    129,509.34/178,735.68 = 75,791.15/x
  3. Step 3: Cross multiply
    129,509.34x = 178,735.68 × 75,791.15
  4. Step 4: Simplify right side
    129,509.34x = 13,546,582,733.23
  5. Step 5: Solve for x
    x = 13,546,582,733.23/129,509.34
  6. Step 6: Final answer
    x = 104,599.27

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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.