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Finding the Fourth Proportional to 261,974.50, 361,524.81 and 142,742.50

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Solution

The fourth proportional to 261,974.50, 361,524.81 and 142,742.50 is: 196,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,974.50 : 361,524.81 = 142,742.50 : x
  2. Step 2: Convert to fraction form
    261,974.50/361,524.81 = 142,742.50/x
  3. Step 3: Cross multiply
    261,974.50x = 361,524.81 × 142,742.50
  4. Step 4: Simplify right side
    261,974.50x = 51,604,955,191.43
  5. Step 5: Solve for x
    x = 51,604,955,191.43/261,974.50
  6. Step 6: Final answer
    x = 196,984.65

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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.