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Finding the Fourth Proportional to 145,604.98, 200,934.46 and 81,942.78

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Solution

The fourth proportional to 145,604.98, 200,934.46 and 81,942.78 is: 113,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,604.98 : 200,934.46 = 81,942.78 : x
  2. Step 2: Convert to fraction form
    145,604.98/200,934.46 = 81,942.78/x
  3. Step 3: Cross multiply
    145,604.98x = 200,934.46 × 81,942.78
  4. Step 4: Simplify right side
    145,604.98x = 16,465,128,206.34
  5. Step 5: Solve for x
    x = 16,465,128,206.34/145,604.98
  6. Step 6: Final answer
    x = 113,080.80

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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.