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Finding the Fourth Proportional to 272,617.14, 408,942.05 and 85,628.64

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Solution

The fourth proportional to 272,617.14, 408,942.05 and 85,628.64 is: 128,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,617.14 : 408,942.05 = 85,628.64 : x
  2. Step 2: Convert to fraction form
    272,617.14/408,942.05 = 85,628.64/x
  3. Step 3: Cross multiply
    272,617.14x = 408,942.05 × 85,628.64
  4. Step 4: Simplify right side
    272,617.14x = 35,017,151,152.17
  5. Step 5: Solve for x
    x = 35,017,151,152.17/272,617.14
  6. Step 6: Final answer
    x = 128,448.09

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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.