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Finding the Fourth Proportional to 129,758, 179,066.28 and 70,142

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Solution

The fourth proportional to 129,758, 179,066.28 and 70,142 is: 96,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,758 : 179,066.28 = 70,142 : x
  2. Step 2: Convert to fraction form
    129,758/179,066.28 = 70,142/x
  3. Step 3: Cross multiply
    129,758x = 179,066.28 × 70,142
  4. Step 4: Simplify right side
    129,758x = 12,560,067,011.76
  5. Step 5: Solve for x
    x = 12,560,067,011.76/129,758
  6. Step 6: Final answer
    x = 96,796.09

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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.