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Finding the Fourth Proportional to 71,738.64, 107,605.53 and 19,145.34

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Solution

The fourth proportional to 71,738.64, 107,605.53 and 19,145.34 is: 28,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738.64 : 107,605.53 = 19,145.34 : x
  2. Step 2: Convert to fraction form
    71,738.64/107,605.53 = 19,145.34/x
  3. Step 3: Cross multiply
    71,738.64x = 107,605.53 × 19,145.34
  4. Step 4: Simplify right side
    71,738.64x = 2,060,144,457.73
  5. Step 5: Solve for x
    x = 2,060,144,457.73/71,738.64
  6. Step 6: Final answer
    x = 28,717.36

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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.