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Finding the Fourth Proportional to 164,960, 227,644.80 and 89,508.50

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Solution

The fourth proportional to 164,960, 227,644.80 and 89,508.50 is: 123,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,960 : 227,644.80 = 89,508.50 : x
  2. Step 2: Convert to fraction form
    164,960/227,644.80 = 89,508.50/x
  3. Step 3: Cross multiply
    164,960x = 227,644.80 × 89,508.50
  4. Step 4: Simplify right side
    164,960x = 20,376,144,580.80
  5. Step 5: Solve for x
    x = 20,376,144,580.80/164,960
  6. Step 6: Final answer
    x = 123,521.73

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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.