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Finding the Fourth Proportional to 218,493.62, 301,549.94 and 123,018.92

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Solution

The fourth proportional to 218,493.62, 301,549.94 and 123,018.92 is: 169,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,493.62 : 301,549.94 = 123,018.92 : x
  2. Step 2: Convert to fraction form
    218,493.62/301,549.94 = 123,018.92/x
  3. Step 3: Cross multiply
    218,493.62x = 301,549.94 × 123,018.92
  4. Step 4: Simplify right side
    218,493.62x = 37,096,345,822.02
  5. Step 5: Solve for x
    x = 37,096,345,822.02/218,493.62
  6. Step 6: Final answer
    x = 169,782.29

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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.