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Finding the Fourth Proportional to 178,161.80, 245,884.02 and 102,713

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Solution

The fourth proportional to 178,161.80, 245,884.02 and 102,713 is: 141,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,161.80 : 245,884.02 = 102,713 : x
  2. Step 2: Convert to fraction form
    178,161.80/245,884.02 = 102,713/x
  3. Step 3: Cross multiply
    178,161.80x = 245,884.02 × 102,713
  4. Step 4: Simplify right side
    178,161.80x = 25,255,485,346.26
  5. Step 5: Solve for x
    x = 25,255,485,346.26/178,161.80
  6. Step 6: Final answer
    x = 141,755.89

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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.