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Finding the Fourth Proportional to 218,638.54, 301,722.87 and 123,136.30

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Solution

The fourth proportional to 218,638.54, 301,722.87 and 123,136.30 is: 169,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,638.54 : 301,722.87 = 123,136.30 : x
  2. Step 2: Convert to fraction form
    218,638.54/301,722.87 = 123,136.30/x
  3. Step 3: Cross multiply
    218,638.54x = 301,722.87 × 123,136.30
  4. Step 4: Simplify right side
    218,638.54x = 37,153,037,837.18
  5. Step 5: Solve for x
    x = 37,153,037,837.18/218,638.54
  6. Step 6: Final answer
    x = 169,929.04

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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.