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Finding the Fourth Proportional to 82,383.90, 123,575.86 and 29,781.08

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Solution

The fourth proportional to 82,383.90, 123,575.86 and 29,781.08 is: 44,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,383.90 : 123,575.86 = 29,781.08 : x
  2. Step 2: Convert to fraction form
    82,383.90/123,575.86 = 29,781.08/x
  3. Step 3: Cross multiply
    82,383.90x = 123,575.86 × 29,781.08
  4. Step 4: Simplify right side
    82,383.90x = 3,680,223,150.60
  5. Step 5: Solve for x
    x = 3,680,223,150.60/82,383.90
  6. Step 6: Final answer
    x = 44,671.63

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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.