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Finding the Fourth Proportional to 56,964.48, 85,431.72 and 39,191.40

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Solution

The fourth proportional to 56,964.48, 85,431.72 and 39,191.40 is: 58,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,964.48 : 85,431.72 = 39,191.40 : x
  2. Step 2: Convert to fraction form
    56,964.48/85,431.72 = 39,191.40/x
  3. Step 3: Cross multiply
    56,964.48x = 85,431.72 × 39,191.40
  4. Step 4: Simplify right side
    56,964.48x = 3,348,188,711.21
  5. Step 5: Solve for x
    x = 3,348,188,711.21/56,964.48
  6. Step 6: Final answer
    x = 58,776.78

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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.