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Finding the Fourth Proportional to 70,446.36, 105,668.66 and 17,138.64

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Solution

The fourth proportional to 70,446.36, 105,668.66 and 17,138.64 is: 25,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446.36 : 105,668.66 = 17,138.64 : x
  2. Step 2: Convert to fraction form
    70,446.36/105,668.66 = 17,138.64/x
  3. Step 3: Cross multiply
    70,446.36x = 105,668.66 × 17,138.64
  4. Step 4: Simplify right side
    70,446.36x = 1,811,017,123.02
  5. Step 5: Solve for x
    x = 1,811,017,123.02/70,446.36
  6. Step 6: Final answer
    x = 25,707.75

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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.