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Finding the Fourth Proportional to 86,377.78, 129,401.43 and 76,268.98

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Solution

The fourth proportional to 86,377.78, 129,401.43 and 76,268.98 is: 114,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,377.78 : 129,401.43 = 76,268.98 : x
  2. Step 2: Convert to fraction form
    86,377.78/129,401.43 = 76,268.98/x
  3. Step 3: Cross multiply
    86,377.78x = 129,401.43 × 76,268.98
  4. Step 4: Simplify right side
    86,377.78x = 9,869,315,076.64
  5. Step 5: Solve for x
    x = 9,869,315,076.64/86,377.78
  6. Step 6: Final answer
    x = 114,257.57

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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.