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Finding the Fourth Proportional to 70,982.80, 106,474.20 and 64,421.80

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Solution

The fourth proportional to 70,982.80, 106,474.20 and 64,421.80 is: 96,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.80 : 106,474.20 = 64,421.80 : x
  2. Step 2: Convert to fraction form
    70,982.80/106,474.20 = 64,421.80/x
  3. Step 3: Cross multiply
    70,982.80x = 106,474.20 × 64,421.80
  4. Step 4: Simplify right side
    70,982.80x = 6,859,259,617.56
  5. Step 5: Solve for x
    x = 6,859,259,617.56/70,982.80
  6. Step 6: Final answer
    x = 96,632.70

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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.