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Finding the Fourth Proportional to 78,241.44, 107,972.60 and 42,431.52

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Solution

The fourth proportional to 78,241.44, 107,972.60 and 42,431.52 is: 58,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.44 : 107,972.60 = 42,431.52 : x
  2. Step 2: Convert to fraction form
    78,241.44/107,972.60 = 42,431.52/x
  3. Step 3: Cross multiply
    78,241.44x = 107,972.60 × 42,431.52
  4. Step 4: Simplify right side
    78,241.44x = 4,581,441,324.19
  5. Step 5: Solve for x
    x = 4,581,441,324.19/78,241.44
  6. Step 6: Final answer
    x = 58,555.18

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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.