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Finding the Fourth Proportional to 164,486, 226,990.68 and 89,034.50

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Solution

The fourth proportional to 164,486, 226,990.68 and 89,034.50 is: 122,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,486 : 226,990.68 = 89,034.50 : x
  2. Step 2: Convert to fraction form
    164,486/226,990.68 = 89,034.50/x
  3. Step 3: Cross multiply
    164,486x = 226,990.68 × 89,034.50
  4. Step 4: Simplify right side
    164,486x = 20,210,001,698.46
  5. Step 5: Solve for x
    x = 20,210,001,698.46/164,486
  6. Step 6: Final answer
    x = 122,867.61

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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.