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Finding the Fourth Proportional to 103,405.70, 155,108.55 and 67,976.30

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Solution

The fourth proportional to 103,405.70, 155,108.55 and 67,976.30 is: 101,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,405.70 : 155,108.55 = 67,976.30 : x
  2. Step 2: Convert to fraction form
    103,405.70/155,108.55 = 67,976.30/x
  3. Step 3: Cross multiply
    103,405.70x = 155,108.55 × 67,976.30
  4. Step 4: Simplify right side
    103,405.70x = 10,543,705,327.37
  5. Step 5: Solve for x
    x = 10,543,705,327.37/103,405.70
  6. Step 6: Final answer
    x = 101,964.45

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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.