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Finding the Fourth Proportional to 129,442, 178,634.28 and 79,131.28

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Solution

The fourth proportional to 129,442, 178,634.28 and 79,131.28 is: 109,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,442 : 178,634.28 = 79,131.28 : x
  2. Step 2: Convert to fraction form
    129,442/178,634.28 = 79,131.28/x
  3. Step 3: Cross multiply
    129,442x = 178,634.28 × 79,131.28
  4. Step 4: Simplify right side
    129,442x = 14,135,559,228.28
  5. Step 5: Solve for x
    x = 14,135,559,228.28/129,442
  6. Step 6: Final answer
    x = 109,203.81

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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.