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Finding the Fourth Proportional to 157,998.80, 217,893.84 and 123,548

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Solution

The fourth proportional to 157,998.80, 217,893.84 and 123,548 is: 170,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,998.80 : 217,893.84 = 123,548 : x
  2. Step 2: Convert to fraction form
    157,998.80/217,893.84 = 123,548/x
  3. Step 3: Cross multiply
    157,998.80x = 217,893.84 × 123,548
  4. Step 4: Simplify right side
    157,998.80x = 26,920,348,144.32
  5. Step 5: Solve for x
    x = 26,920,348,144.32/157,998.80
  6. Step 6: Final answer
    x = 170,383.24

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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.