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Finding the Fourth Proportional to 272,102.78, 408,158.32 and 103,632.46

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Solution

The fourth proportional to 272,102.78, 408,158.32 and 103,632.46 is: 155,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102.78 : 408,158.32 = 103,632.46 : x
  2. Step 2: Convert to fraction form
    272,102.78/408,158.32 = 103,632.46/x
  3. Step 3: Cross multiply
    272,102.78x = 408,158.32 × 103,632.46
  4. Step 4: Simplify right side
    272,102.78x = 42,298,450,771.07
  5. Step 5: Solve for x
    x = 42,298,450,771.07/272,102.78
  6. Step 6: Final answer
    x = 155,450.27

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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.