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Finding the Fourth Proportional to 68,389.96, 102,597.42 and 31,453

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Solution

The fourth proportional to 68,389.96, 102,597.42 and 31,453 is: 47,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,389.96 : 102,597.42 = 31,453 : x
  2. Step 2: Convert to fraction form
    68,389.96/102,597.42 = 31,453/x
  3. Step 3: Cross multiply
    68,389.96x = 102,597.42 × 31,453
  4. Step 4: Simplify right side
    68,389.96x = 3,226,996,651.26
  5. Step 5: Solve for x
    x = 3,226,996,651.26/68,389.96
  6. Step 6: Final answer
    x = 47,185.24

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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.