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Finding the Fourth Proportional to 272,102.77, 408,154.95 and 82,564.69

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Solution

The fourth proportional to 272,102.77, 408,154.95 and 82,564.69 is: 123,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102.77 : 408,154.95 = 82,564.69 : x
  2. Step 2: Convert to fraction form
    272,102.77/408,154.95 = 82,564.69/x
  3. Step 3: Cross multiply
    272,102.77x = 408,154.95 × 82,564.69
  4. Step 4: Simplify right side
    272,102.77x = 33,699,186,918.72
  5. Step 5: Solve for x
    x = 33,699,186,918.72/272,102.77
  6. Step 6: Final answer
    x = 123,847.28

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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.