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Finding the Fourth Proportional to 70,983.80, 106,475.70 and 64,422.80

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Solution

The fourth proportional to 70,983.80, 106,475.70 and 64,422.80 is: 96,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.80 : 106,475.70 = 64,422.80 : x
  2. Step 2: Convert to fraction form
    70,983.80/106,475.70 = 64,422.80/x
  3. Step 3: Cross multiply
    70,983.80x = 106,475.70 × 64,422.80
  4. Step 4: Simplify right side
    70,983.80x = 6,859,462,725.96
  5. Step 5: Solve for x
    x = 6,859,462,725.96/70,983.80
  6. Step 6: Final answer
    x = 96,634.20

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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.