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Finding the Fourth Proportional to 71,208, 106,830.24 and 26,835.12

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Solution

The fourth proportional to 71,208, 106,830.24 and 26,835.12 is: 40,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208 : 106,830.24 = 26,835.12 : x
  2. Step 2: Convert to fraction form
    71,208/106,830.24 = 26,835.12/x
  3. Step 3: Cross multiply
    71,208x = 106,830.24 × 26,835.12
  4. Step 4: Simplify right side
    71,208x = 2,866,802,310.03
  5. Step 5: Solve for x
    x = 2,866,802,310.03/71,208
  6. Step 6: Final answer
    x = 40,259.55

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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.