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Finding the Fourth Proportional to 135,415.21, 186,872.87 and 74,985.85

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Solution

The fourth proportional to 135,415.21, 186,872.87 and 74,985.85 is: 103,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,415.21 : 186,872.87 = 74,985.85 : x
  2. Step 2: Convert to fraction form
    135,415.21/186,872.87 = 74,985.85/x
  3. Step 3: Cross multiply
    135,415.21x = 186,872.87 × 74,985.85
  4. Step 4: Simplify right side
    135,415.21x = 14,012,820,998.89
  5. Step 5: Solve for x
    x = 14,012,820,998.89/135,415.21
  6. Step 6: Final answer
    x = 103,480.41

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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.