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Finding the Fourth Proportional to 253,678.44, 350,078.82 and 153,057

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Solution

The fourth proportional to 253,678.44, 350,078.82 and 153,057 is: 211,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,678.44 : 350,078.82 = 153,057 : x
  2. Step 2: Convert to fraction form
    253,678.44/350,078.82 = 153,057/x
  3. Step 3: Cross multiply
    253,678.44x = 350,078.82 × 153,057
  4. Step 4: Simplify right side
    253,678.44x = 53,582,013,952.74
  5. Step 5: Solve for x
    x = 53,582,013,952.74/253,678.44
  6. Step 6: Final answer
    x = 211,220.21

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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.