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Finding the Fourth Proportional to 72,782.69, 100,431.99 and 40,950.91

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Solution

The fourth proportional to 72,782.69, 100,431.99 and 40,950.91 is: 56,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782.69 : 100,431.99 = 40,950.91 : x
  2. Step 2: Convert to fraction form
    72,782.69/100,431.99 = 40,950.91/x
  3. Step 3: Cross multiply
    72,782.69x = 100,431.99 × 40,950.91
  4. Step 4: Simplify right side
    72,782.69x = 4,112,781,132.53
  5. Step 5: Solve for x
    x = 4,112,781,132.53/72,782.69
  6. Step 6: Final answer
    x = 56,507.68

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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.