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Finding the Fourth Proportional to 187,777, 259,132.26 and 108,289

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Solution

The fourth proportional to 187,777, 259,132.26 and 108,289 is: 149,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,777 : 259,132.26 = 108,289 : x
  2. Step 2: Convert to fraction form
    187,777/259,132.26 = 108,289/x
  3. Step 3: Cross multiply
    187,777x = 259,132.26 × 108,289
  4. Step 4: Simplify right side
    187,777x = 28,061,173,303.14
  5. Step 5: Solve for x
    x = 28,061,173,303.14/187,777
  6. Step 6: Final answer
    x = 149,438.82

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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.