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Finding the Fourth Proportional to 71,287.94, 107,070.31 and 52,493.75

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Solution

The fourth proportional to 71,287.94, 107,070.31 and 52,493.75 is: 78,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287.94 : 107,070.31 = 52,493.75 : x
  2. Step 2: Convert to fraction form
    71,287.94/107,070.31 = 52,493.75/x
  3. Step 3: Cross multiply
    71,287.94x = 107,070.31 × 52,493.75
  4. Step 4: Simplify right side
    71,287.94x = 5,620,521,823.09
  5. Step 5: Solve for x
    x = 5,620,521,823.09/71,287.94
  6. Step 6: Final answer
    x = 78,842.53

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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.