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Finding the Fourth Proportional to 101,909.75, 152,926.79 and 64,418.09

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Solution

The fourth proportional to 101,909.75, 152,926.79 and 64,418.09 is: 96,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.75 : 152,926.79 = 64,418.09 : x
  2. Step 2: Convert to fraction form
    101,909.75/152,926.79 = 64,418.09/x
  3. Step 3: Cross multiply
    101,909.75x = 152,926.79 × 64,418.09
  4. Step 4: Simplify right side
    101,909.75x = 9,851,250,634.91
  5. Step 5: Solve for x
    x = 9,851,250,634.91/101,909.75
  6. Step 6: Final answer
    x = 96,666.42

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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.