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Finding the Fourth Proportional to 75,839.76, 104,662.10 and 42,305.76

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Solution

The fourth proportional to 75,839.76, 104,662.10 and 42,305.76 is: 58,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,839.76 : 104,662.10 = 42,305.76 : x
  2. Step 2: Convert to fraction form
    75,839.76/104,662.10 = 42,305.76/x
  3. Step 3: Cross multiply
    75,839.76x = 104,662.10 × 42,305.76
  4. Step 4: Simplify right side
    75,839.76x = 4,427,809,683.70
  5. Step 5: Solve for x
    x = 4,427,809,683.70/75,839.76
  6. Step 6: Final answer
    x = 58,383.75

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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.