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Finding the Fourth Proportional to 149,765.76, 206,671.30 and 81,781.51

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Solution

The fourth proportional to 149,765.76, 206,671.30 and 81,781.51 is: 112,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,765.76 : 206,671.30 = 81,781.51 : x
  2. Step 2: Convert to fraction form
    149,765.76/206,671.30 = 81,781.51/x
  3. Step 3: Cross multiply
    149,765.76x = 206,671.30 × 81,781.51
  4. Step 4: Simplify right side
    149,765.76x = 16,901,890,987.66
  5. Step 5: Solve for x
    x = 16,901,890,987.66/149,765.76
  6. Step 6: Final answer
    x = 112,855.51

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1.5x scale

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.