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Finding the Fourth Proportional to 51,267.70, 70,754.32 and 31,119.96

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Solution

The fourth proportional to 51,267.70, 70,754.32 and 31,119.96 is: 42,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,267.70 : 70,754.32 = 31,119.96 : x
  2. Step 2: Convert to fraction form
    51,267.70/70,754.32 = 31,119.96/x
  3. Step 3: Cross multiply
    51,267.70x = 70,754.32 × 31,119.96
  4. Step 4: Simplify right side
    51,267.70x = 2,201,871,608.23
  5. Step 5: Solve for x
    x = 2,201,871,608.23/51,267.70
  6. Step 6: Final answer
    x = 42,948.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.