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Finding the Fourth Proportional to 57,731.80, 86,597.70 and 56,954.20

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Solution

The fourth proportional to 57,731.80, 86,597.70 and 56,954.20 is: 85,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731.80 : 86,597.70 = 56,954.20 : x
  2. Step 2: Convert to fraction form
    57,731.80/86,597.70 = 56,954.20/x
  3. Step 3: Cross multiply
    57,731.80x = 86,597.70 × 56,954.20
  4. Step 4: Simplify right side
    57,731.80x = 4,932,102,725.34
  5. Step 5: Solve for x
    x = 4,932,102,725.34/57,731.80
  6. Step 6: Final answer
    x = 85,431.30

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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.