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Finding the Fourth Proportional to 72,474.66, 100,021.14 and 40,649.58

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Solution

The fourth proportional to 72,474.66, 100,021.14 and 40,649.58 is: 56,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,474.66 : 100,021.14 = 40,649.58 : x
  2. Step 2: Convert to fraction form
    72,474.66/100,021.14 = 40,649.58/x
  3. Step 3: Cross multiply
    72,474.66x = 100,021.14 × 40,649.58
  4. Step 4: Simplify right side
    72,474.66x = 4,065,817,332.12
  5. Step 5: Solve for x
    x = 4,065,817,332.12/72,474.66
  6. Step 6: Final answer
    x = 56,099.85

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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.