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Finding the Fourth Proportional to 56,758.99, 85,135.31 and 17,313

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Solution

The fourth proportional to 56,758.99, 85,135.31 and 17,313 is: 25,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758.99 : 85,135.31 = 17,313 : x
  2. Step 2: Convert to fraction form
    56,758.99/85,135.31 = 17,313/x
  3. Step 3: Cross multiply
    56,758.99x = 85,135.31 × 17,313
  4. Step 4: Simplify right side
    56,758.99x = 1,473,947,622.03
  5. Step 5: Solve for x
    x = 1,473,947,622.03/56,758.99
  6. Step 6: Final answer
    x = 25,968.53

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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.