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Finding the Fourth Proportional to 272,376.54, 408,564.81 and 85,403.10

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Solution

The fourth proportional to 272,376.54, 408,564.81 and 85,403.10 is: 128,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,376.54 : 408,564.81 = 85,403.10 : x
  2. Step 2: Convert to fraction form
    272,376.54/408,564.81 = 85,403.10/x
  3. Step 3: Cross multiply
    272,376.54x = 408,564.81 × 85,403.10
  4. Step 4: Simplify right side
    272,376.54x = 34,892,701,324.91
  5. Step 5: Solve for x
    x = 34,892,701,324.91/272,376.54
  6. Step 6: Final answer
    x = 128,104.65

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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.