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Finding the Fourth Proportional to 71,926.25, 107,920.49 and 38,607.40

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Solution

The fourth proportional to 71,926.25, 107,920.49 and 38,607.40 is: 57,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,926.25 : 107,920.49 = 38,607.40 : x
  2. Step 2: Convert to fraction form
    71,926.25/107,920.49 = 38,607.40/x
  3. Step 3: Cross multiply
    71,926.25x = 107,920.49 × 38,607.40
  4. Step 4: Simplify right side
    71,926.25x = 4,166,529,525.63
  5. Step 5: Solve for x
    x = 4,166,529,525.63/71,926.25
  6. Step 6: Final answer
    x = 57,927.81

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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.