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Finding the Fourth Proportional to 205,745.41, 308,749.32 and 87,416.78

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Solution

The fourth proportional to 205,745.41, 308,749.32 and 87,416.78 is: 131,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,745.41 : 308,749.32 = 87,416.78 : x
  2. Step 2: Convert to fraction form
    205,745.41/308,749.32 = 87,416.78/x
  3. Step 3: Cross multiply
    205,745.41x = 308,749.32 × 87,416.78
  4. Step 4: Simplify right side
    205,745.41x = 26,989,871,381.59
  5. Step 5: Solve for x
    x = 26,989,871,381.59/205,745.41
  6. Step 6: Final answer
    x = 131,180.92

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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.