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Finding the Fourth Proportional to 258,603.44, 387,905.16 and 71,610.80

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Solution

The fourth proportional to 258,603.44, 387,905.16 and 71,610.80 is: 107,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,603.44 : 387,905.16 = 71,610.80 : x
  2. Step 2: Convert to fraction form
    258,603.44/387,905.16 = 71,610.80/x
  3. Step 3: Cross multiply
    258,603.44x = 387,905.16 × 71,610.80
  4. Step 4: Simplify right side
    258,603.44x = 27,778,198,831.73
  5. Step 5: Solve for x
    x = 27,778,198,831.73/258,603.44
  6. Step 6: Final answer
    x = 107,416.20

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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.