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Finding the Fourth Proportional to 71,578.58, 107,353.29 and 27,189.77

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Solution

The fourth proportional to 71,578.58, 107,353.29 and 27,189.77 is: 40,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.58 : 107,353.29 = 27,189.77 : x
  2. Step 2: Convert to fraction form
    71,578.58/107,353.29 = 27,189.77/x
  3. Step 3: Cross multiply
    71,578.58x = 107,353.29 × 27,189.77
  4. Step 4: Simplify right side
    71,578.58x = 2,918,911,263.84
  5. Step 5: Solve for x
    x = 2,918,911,263.84/71,578.58
  6. Step 6: Final answer
    x = 40,779.12

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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.