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Finding the Fourth Proportional to 70,472.36, 105,708.47 and 17,164.31

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Solution

The fourth proportional to 70,472.36, 105,708.47 and 17,164.31 is: 25,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.36 : 105,708.47 = 17,164.31 : x
  2. Step 2: Convert to fraction form
    70,472.36/105,708.47 = 17,164.31/x
  3. Step 3: Cross multiply
    70,472.36x = 105,708.47 × 17,164.31
  4. Step 4: Simplify right side
    70,472.36x = 1,814,412,334.34
  5. Step 5: Solve for x
    x = 1,814,412,334.34/70,472.36
  6. Step 6: Final answer
    x = 25,746.44

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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.