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Finding the Fourth Proportional to 101,661.36, 152,323.44 and 71,931.84

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Solution

The fourth proportional to 101,661.36, 152,323.44 and 71,931.84 is: 107,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,661.36 : 152,323.44 = 71,931.84 : x
  2. Step 2: Convert to fraction form
    101,661.36/152,323.44 = 71,931.84/x
  3. Step 3: Cross multiply
    101,661.36x = 152,323.44 × 71,931.84
  4. Step 4: Simplify right side
    101,661.36x = 10,956,905,314.33
  5. Step 5: Solve for x
    x = 10,956,905,314.33/101,661.36
  6. Step 6: Final answer
    x = 107,778.46

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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.