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Finding the Fourth Proportional to 149,002.50, 205,623.45 and 81,934.50

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Solution

The fourth proportional to 149,002.50, 205,623.45 and 81,934.50 is: 113,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,002.50 : 205,623.45 = 81,934.50 : x
  2. Step 2: Convert to fraction form
    149,002.50/205,623.45 = 81,934.50/x
  3. Step 3: Cross multiply
    149,002.50x = 205,623.45 × 81,934.50
  4. Step 4: Simplify right side
    149,002.50x = 16,847,654,564.03
  5. Step 5: Solve for x
    x = 16,847,654,564.03/149,002.50
  6. Step 6: Final answer
    x = 113,069.61

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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.