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Finding the Fourth Proportional to 72,814.68, 100,491.84 and 44,539.20

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Solution

The fourth proportional to 72,814.68, 100,491.84 and 44,539.20 is: 61,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,814.68 : 100,491.84 = 44,539.20 : x
  2. Step 2: Convert to fraction form
    72,814.68/100,491.84 = 44,539.20/x
  3. Step 3: Cross multiply
    72,814.68x = 100,491.84 × 44,539.20
  4. Step 4: Simplify right side
    72,814.68x = 4,475,826,160.13
  5. Step 5: Solve for x
    x = 4,475,826,160.13/72,814.68
  6. Step 6: Final answer
    x = 61,468.73

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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.