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Finding the Fourth Proportional to 106,279.40, 146,681.70 and 80,743.88

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Solution

The fourth proportional to 106,279.40, 146,681.70 and 80,743.88 is: 111,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,279.40 : 146,681.70 = 80,743.88 : x
  2. Step 2: Convert to fraction form
    106,279.40/146,681.70 = 80,743.88/x
  3. Step 3: Cross multiply
    106,279.40x = 146,681.70 × 80,743.88
  4. Step 4: Simplify right side
    106,279.40x = 11,843,649,583.00
  5. Step 5: Solve for x
    x = 11,843,649,583.00/106,279.40
  6. Step 6: Final answer
    x = 111,438.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.