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Finding the Fourth Proportional to 102,993.14, 142,134 and 57,673.02

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Solution

The fourth proportional to 102,993.14, 142,134 and 57,673.02 is: 79,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.14 : 142,134 = 57,673.02 : x
  2. Step 2: Convert to fraction form
    102,993.14/142,134 = 57,673.02/x
  3. Step 3: Cross multiply
    102,993.14x = 142,134 × 57,673.02
  4. Step 4: Simplify right side
    102,993.14x = 8,197,297,024.68
  5. Step 5: Solve for x
    x = 8,197,297,024.68/102,993.14
  6. Step 6: Final answer
    x = 79,590.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.