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Finding the Fourth Proportional to 258,539.68, 387,816 and 71,552.80

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Solution

The fourth proportional to 258,539.68, 387,816 and 71,552.80 is: 107,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,539.68 : 387,816 = 71,552.80 : x
  2. Step 2: Convert to fraction form
    258,539.68/387,816 = 71,552.80/x
  3. Step 3: Cross multiply
    258,539.68x = 387,816 × 71,552.80
  4. Step 4: Simplify right side
    258,539.68x = 27,749,320,684.80
  5. Step 5: Solve for x
    x = 27,749,320,684.80/258,539.68
  6. Step 6: Final answer
    x = 107,330.99

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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.