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Finding the Fourth Proportional to 71,727.80, 107,577.30 and 34,287.80

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Solution

The fourth proportional to 71,727.80, 107,577.30 and 34,287.80 is: 51,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,727.80 : 107,577.30 = 34,287.80 : x
  2. Step 2: Convert to fraction form
    71,727.80/107,577.30 = 34,287.80/x
  3. Step 3: Cross multiply
    71,727.80x = 107,577.30 × 34,287.80
  4. Step 4: Simplify right side
    71,727.80x = 3,688,588,946.94
  5. Step 5: Solve for x
    x = 3,688,588,946.94/71,727.80
  6. Step 6: Final answer
    x = 51,424.82

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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.