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Finding the Fourth Proportional to 71,972.86, 99,322.26 and 39,709.53

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Solution

The fourth proportional to 71,972.86, 99,322.26 and 39,709.53 is: 54,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972.86 : 99,322.26 = 39,709.53 : x
  2. Step 2: Convert to fraction form
    71,972.86/99,322.26 = 39,709.53/x
  3. Step 3: Cross multiply
    71,972.86x = 99,322.26 × 39,709.53
  4. Step 4: Simplify right side
    71,972.86x = 3,944,040,263.14
  5. Step 5: Solve for x
    x = 3,944,040,263.14/71,972.86
  6. Step 6: Final answer
    x = 54,798.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.