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Finding the Fourth Proportional to 70,761.21, 106,142.40 and 25,814.76

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Solution

The fourth proportional to 70,761.21, 106,142.40 and 25,814.76 is: 38,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,761.21 : 106,142.40 = 25,814.76 : x
  2. Step 2: Convert to fraction form
    70,761.21/106,142.40 = 25,814.76/x
  3. Step 3: Cross multiply
    70,761.21x = 106,142.40 × 25,814.76
  4. Step 4: Simplify right side
    70,761.21x = 2,740,040,581.82
  5. Step 5: Solve for x
    x = 2,740,040,581.82/70,761.21
  6. Step 6: Final answer
    x = 38,722.35

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1.5x scale

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.