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Finding the Fourth Proportional to 119,745.43, 165,249.78 and 66,032.30

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Solution

The fourth proportional to 119,745.43, 165,249.78 and 66,032.30 is: 91,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,745.43 : 165,249.78 = 66,032.30 : x
  2. Step 2: Convert to fraction form
    119,745.43/165,249.78 = 66,032.30/x
  3. Step 3: Cross multiply
    119,745.43x = 165,249.78 × 66,032.30
  4. Step 4: Simplify right side
    119,745.43x = 10,911,823,047.89
  5. Step 5: Solve for x
    x = 10,911,823,047.89/119,745.43
  6. Step 6: Final answer
    x = 91,125.17

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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.