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Finding the Fourth Proportional to 57,090.56, 85,525.02 and 42,070.42

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Solution

The fourth proportional to 57,090.56, 85,525.02 and 42,070.42 is: 63,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,090.56 : 85,525.02 = 42,070.42 : x
  2. Step 2: Convert to fraction form
    57,090.56/85,525.02 = 42,070.42/x
  3. Step 3: Cross multiply
    57,090.56x = 85,525.02 × 42,070.42
  4. Step 4: Simplify right side
    57,090.56x = 3,598,073,511.91
  5. Step 5: Solve for x
    x = 3,598,073,511.91/57,090.56
  6. Step 6: Final answer
    x = 63,023.97

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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.