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Finding the Fourth Proportional to 83,415.64, 125,142.90 and 27,258.34

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Solution

The fourth proportional to 83,415.64, 125,142.90 and 27,258.34 is: 40,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.64 : 125,142.90 = 27,258.34 : x
  2. Step 2: Convert to fraction form
    83,415.64/125,142.90 = 27,258.34/x
  3. Step 3: Cross multiply
    83,415.64x = 125,142.90 × 27,258.34
  4. Step 4: Simplify right side
    83,415.64x = 3,411,187,716.79
  5. Step 5: Solve for x
    x = 3,411,187,716.79/83,415.64
  6. Step 6: Final answer
    x = 40,893.86

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1.5x scale

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.