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Finding the Fourth Proportional to 70,142.46, 105,214.02 and 17,551.80

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Solution

The fourth proportional to 70,142.46, 105,214.02 and 17,551.80 is: 26,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.46 : 105,214.02 = 17,551.80 : x
  2. Step 2: Convert to fraction form
    70,142.46/105,214.02 = 17,551.80/x
  3. Step 3: Cross multiply
    70,142.46x = 105,214.02 × 17,551.80
  4. Step 4: Simplify right side
    70,142.46x = 1,846,695,436.24
  5. Step 5: Solve for x
    x = 1,846,695,436.24/70,142.46
  6. Step 6: Final answer
    x = 26,327.78

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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.