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Finding the Fourth Proportional to 190,775.86, 286,163.79 and 72,447.21

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Solution

The fourth proportional to 190,775.86, 286,163.79 and 72,447.21 is: 108,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,775.86 : 286,163.79 = 72,447.21 : x
  2. Step 2: Convert to fraction form
    190,775.86/286,163.79 = 72,447.21/x
  3. Step 3: Cross multiply
    190,775.86x = 286,163.79 × 72,447.21
  4. Step 4: Simplify right side
    190,775.86x = 20,731,767,916.85
  5. Step 5: Solve for x
    x = 20,731,767,916.85/190,775.86
  6. Step 6: Final answer
    x = 108,670.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.