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Finding the Fourth Proportional to 71,814.40, 107,561.22 and 52,047.56

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Solution

The fourth proportional to 71,814.40, 107,561.22 and 52,047.56 is: 77,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.40 : 107,561.22 = 52,047.56 : x
  2. Step 2: Convert to fraction form
    71,814.40/107,561.22 = 52,047.56/x
  3. Step 3: Cross multiply
    71,814.40x = 107,561.22 × 52,047.56
  4. Step 4: Simplify right side
    71,814.40x = 5,598,299,125.35
  5. Step 5: Solve for x
    x = 5,598,299,125.35/71,814.40
  6. Step 6: Final answer
    x = 77,955.11

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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.