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Finding the Fourth Proportional to 71,816.89, 107,675.37 and 31,814.17

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Solution

The fourth proportional to 71,816.89, 107,675.37 and 31,814.17 is: 47,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.89 : 107,675.37 = 31,814.17 : x
  2. Step 2: Convert to fraction form
    71,816.89/107,675.37 = 31,814.17/x
  3. Step 3: Cross multiply
    71,816.89x = 107,675.37 × 31,814.17
  4. Step 4: Simplify right side
    71,816.89x = 3,425,602,525.99
  5. Step 5: Solve for x
    x = 3,425,602,525.99/71,816.89
  6. Step 6: Final answer
    x = 47,699.12

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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.