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Finding the Fourth Proportional to 84,424.75, 126,680.87 and 42,871.75

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Solution

The fourth proportional to 84,424.75, 126,680.87 and 42,871.75 is: 64,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,424.75 : 126,680.87 = 42,871.75 : x
  2. Step 2: Convert to fraction form
    84,424.75/126,680.87 = 42,871.75/x
  3. Step 3: Cross multiply
    84,424.75x = 126,680.87 × 42,871.75
  4. Step 4: Simplify right side
    84,424.75x = 5,431,030,588.42
  5. Step 5: Solve for x
    x = 5,431,030,588.42/84,424.75
  6. Step 6: Final answer
    x = 64,329.84

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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.