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Finding the Fourth Proportional to 177,992.40, 266,987.52 and 71,424.48

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Solution

The fourth proportional to 177,992.40, 266,987.52 and 71,424.48 is: 107,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,992.40 : 266,987.52 = 71,424.48 : x
  2. Step 2: Convert to fraction form
    177,992.40/266,987.52 = 71,424.48/x
  3. Step 3: Cross multiply
    177,992.40x = 266,987.52 × 71,424.48
  4. Step 4: Simplify right side
    177,992.40x = 19,069,444,782.49
  5. Step 5: Solve for x
    x = 19,069,444,782.49/177,992.40
  6. Step 6: Final answer
    x = 107,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.