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Finding the Fourth Proportional to 218,646.54, 301,733.91 and 123,144.30

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Solution

The fourth proportional to 218,646.54, 301,733.91 and 123,144.30 is: 169,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,646.54 : 301,733.91 = 123,144.30 : x
  2. Step 2: Convert to fraction form
    218,646.54/301,733.91 = 123,144.30/x
  3. Step 3: Cross multiply
    218,646.54x = 301,733.91 × 123,144.30
  4. Step 4: Simplify right side
    218,646.54x = 37,156,811,133.21
  5. Step 5: Solve for x
    x = 37,156,811,133.21/218,646.54
  6. Step 6: Final answer
    x = 169,940.08

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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.