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Finding the Fourth Proportional to 202,685.50, 279,771.60 and 127,234

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Solution

The fourth proportional to 202,685.50, 279,771.60 and 127,234 is: 175,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,685.50 : 279,771.60 = 127,234 : x
  2. Step 2: Convert to fraction form
    202,685.50/279,771.60 = 127,234/x
  3. Step 3: Cross multiply
    202,685.50x = 279,771.60 × 127,234
  4. Step 4: Simplify right side
    202,685.50x = 35,596,459,754.40
  5. Step 5: Solve for x
    x = 35,596,459,754.40/202,685.50
  6. Step 6: Final answer
    x = 175,624.11

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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.