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Finding the Fourth Proportional to 70,161.36, 105,252.46 and 25,784.66

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Solution

The fourth proportional to 70,161.36, 105,252.46 and 25,784.66 is: 38,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.36 : 105,252.46 = 25,784.66 : x
  2. Step 2: Convert to fraction form
    70,161.36/105,252.46 = 25,784.66/x
  3. Step 3: Cross multiply
    70,161.36x = 105,252.46 × 25,784.66
  4. Step 4: Simplify right side
    70,161.36x = 2,713,899,238.97
  5. Step 5: Solve for x
    x = 2,713,899,238.97/70,161.36
  6. Step 6: Final answer
    x = 38,680.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.