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Finding the Fourth Proportional to 164,371.50, 226,832.94 and 88,920

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Solution

The fourth proportional to 164,371.50, 226,832.94 and 88,920 is: 122,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,371.50 : 226,832.94 = 88,920 : x
  2. Step 2: Convert to fraction form
    164,371.50/226,832.94 = 88,920/x
  3. Step 3: Cross multiply
    164,371.50x = 226,832.94 × 88,920
  4. Step 4: Simplify right side
    164,371.50x = 20,169,985,024.80
  5. Step 5: Solve for x
    x = 20,169,985,024.80/164,371.50
  6. Step 6: Final answer
    x = 122,709.75

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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.