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Finding the Fourth Proportional to 30,126, 45,216.92 and 21,701.20

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Solution

The fourth proportional to 30,126, 45,216.92 and 21,701.20 is: 32,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126 : 45,216.92 = 21,701.20 : x
  2. Step 2: Convert to fraction form
    30,126/45,216.92 = 21,701.20/x
  3. Step 3: Cross multiply
    30,126x = 45,216.92 × 21,701.20
  4. Step 4: Simplify right side
    30,126x = 981,261,424.30
  5. Step 5: Solve for x
    x = 981,261,424.30/30,126
  6. Step 6: Final answer
    x = 32,571.91

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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.