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Finding the Fourth Proportional to 72,782.37, 100,437.44 and 40,949.37

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Solution

The fourth proportional to 72,782.37, 100,437.44 and 40,949.37 is: 56,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782.37 : 100,437.44 = 40,949.37 : x
  2. Step 2: Convert to fraction form
    72,782.37/100,437.44 = 40,949.37/x
  3. Step 3: Cross multiply
    72,782.37x = 100,437.44 × 40,949.37
  4. Step 4: Simplify right side
    72,782.37x = 4,112,849,687.67
  5. Step 5: Solve for x
    x = 4,112,849,687.67/72,782.37
  6. Step 6: Final answer
    x = 56,508.87

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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.