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Finding the Fourth Proportional to 149,745.78, 206,647.62 and 81,762.56

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Solution

The fourth proportional to 149,745.78, 206,647.62 and 81,762.56 is: 112,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,745.78 : 206,647.62 = 81,762.56 : x
  2. Step 2: Convert to fraction form
    149,745.78/206,647.62 = 81,762.56/x
  3. Step 3: Cross multiply
    149,745.78x = 206,647.62 × 81,762.56
  4. Step 4: Simplify right side
    149,745.78x = 16,896,038,429.11
  5. Step 5: Solve for x
    x = 16,896,038,429.11/149,745.78
  6. Step 6: Final answer
    x = 112,831.48

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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.