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Finding the Fourth Proportional to 164,717, 227,309.65 and 89,265.50

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Solution

The fourth proportional to 164,717, 227,309.65 and 89,265.50 is: 123,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,717 : 227,309.65 = 89,265.50 : x
  2. Step 2: Convert to fraction form
    164,717/227,309.65 = 89,265.50/x
  3. Step 3: Cross multiply
    164,717x = 227,309.65 × 89,265.50
  4. Step 4: Simplify right side
    164,717x = 20,290,909,562.08
  5. Step 5: Solve for x
    x = 20,290,909,562.08/164,717
  6. Step 6: Final answer
    x = 123,186.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.