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Finding the Fourth Proportional to 85,848.96, 128,767.80 and 29,676

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Solution

The fourth proportional to 85,848.96, 128,767.80 and 29,676 is: 44,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848.96 : 128,767.80 = 29,676 : x
  2. Step 2: Convert to fraction form
    85,848.96/128,767.80 = 29,676/x
  3. Step 3: Cross multiply
    85,848.96x = 128,767.80 × 29,676
  4. Step 4: Simplify right side
    85,848.96x = 3,821,313,232.80
  5. Step 5: Solve for x
    x = 3,821,313,232.80/85,848.96
  6. Step 6: Final answer
    x = 44,512.05

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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.