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Finding the Fourth Proportional to 121,830.72, 182,653.47 and 84,291

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Solution

The fourth proportional to 121,830.72, 182,653.47 and 84,291 is: 126,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830.72 : 182,653.47 = 84,291 : x
  2. Step 2: Convert to fraction form
    121,830.72/182,653.47 = 84,291/x
  3. Step 3: Cross multiply
    121,830.72x = 182,653.47 × 84,291
  4. Step 4: Simplify right side
    121,830.72x = 15,396,043,639.77
  5. Step 5: Solve for x
    x = 15,396,043,639.77/121,830.72
  6. Step 6: Final answer
    x = 126,372.43

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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.