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Finding the Fourth Proportional to 84,666, 126,982.73 and 42,534.80

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Solution

The fourth proportional to 84,666, 126,982.73 and 42,534.80 is: 63,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,666 : 126,982.73 = 42,534.80 : x
  2. Step 2: Convert to fraction form
    84,666/126,982.73 = 42,534.80/x
  3. Step 3: Cross multiply
    84,666x = 126,982.73 × 42,534.80
  4. Step 4: Simplify right side
    84,666x = 5,401,184,176.42
  5. Step 5: Solve for x
    x = 5,401,184,176.42/84,666
  6. Step 6: Final answer
    x = 63,794.02

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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.