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Finding the Fourth Proportional to 157,249.76, 216,998.93 and 85,628.21

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Solution

The fourth proportional to 157,249.76, 216,998.93 and 85,628.21 is: 118,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,249.76 : 216,998.93 = 85,628.21 : x
  2. Step 2: Convert to fraction form
    157,249.76/216,998.93 = 85,628.21/x
  3. Step 3: Cross multiply
    157,249.76x = 216,998.93 × 85,628.21
  4. Step 4: Simplify right side
    157,249.76x = 18,581,229,076.89
  5. Step 5: Solve for x
    x = 18,581,229,076.89/157,249.76
  6. Step 6: Final answer
    x = 118,163.80

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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.