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Finding the Fourth Proportional to 56,302.68, 84,463.14 and 21,245.40

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Solution

The fourth proportional to 56,302.68, 84,463.14 and 21,245.40 is: 31,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302.68 : 84,463.14 = 21,245.40 : x
  2. Step 2: Convert to fraction form
    56,302.68/84,463.14 = 21,245.40/x
  3. Step 3: Cross multiply
    56,302.68x = 84,463.14 × 21,245.40
  4. Step 4: Simplify right side
    56,302.68x = 1,794,453,194.56
  5. Step 5: Solve for x
    x = 1,794,453,194.56/56,302.68
  6. Step 6: Final answer
    x = 31,871.54

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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.