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Finding the Fourth Proportional to 272,815.01, 409,222.55 and 83,276.43

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Solution

The fourth proportional to 272,815.01, 409,222.55 and 83,276.43 is: 124,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,815.01 : 409,222.55 = 83,276.43 : x
  2. Step 2: Convert to fraction form
    272,815.01/409,222.55 = 83,276.43/x
  3. Step 3: Cross multiply
    272,815.01x = 409,222.55 × 83,276.43
  4. Step 4: Simplify right side
    272,815.01x = 34,078,593,039.50
  5. Step 5: Solve for x
    x = 34,078,593,039.50/272,815.01
  6. Step 6: Final answer
    x = 124,914.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.