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Finding the Fourth Proportional to 101,164.40, 151,838.40 and 51,279.20

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Solution

The fourth proportional to 101,164.40, 151,838.40 and 51,279.20 is: 76,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,164.40 : 151,838.40 = 51,279.20 : x
  2. Step 2: Convert to fraction form
    101,164.40/151,838.40 = 51,279.20/x
  3. Step 3: Cross multiply
    101,164.40x = 151,838.40 × 51,279.20
  4. Step 4: Simplify right side
    101,164.40x = 7,786,151,681.28
  5. Step 5: Solve for x
    x = 7,786,151,681.28/101,164.40
  6. Step 6: Final answer
    x = 76,965.33

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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.