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Finding the Fourth Proportional to 101,910.75, 152,928.29 and 64,419.09

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Solution

The fourth proportional to 101,910.75, 152,928.29 and 64,419.09 is: 96,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910.75 : 152,928.29 = 64,419.09 : x
  2. Step 2: Convert to fraction form
    101,910.75/152,928.29 = 64,419.09/x
  3. Step 3: Cross multiply
    101,910.75x = 152,928.29 × 64,419.09
  4. Step 4: Simplify right side
    101,910.75x = 9,851,501,277.06
  5. Step 5: Solve for x
    x = 9,851,501,277.06/101,910.75
  6. Step 6: Final answer
    x = 96,667.93

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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.