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Finding the Fourth Proportional to 135,014.82, 186,320.43 and 75,398.82

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Solution

The fourth proportional to 135,014.82, 186,320.43 and 75,398.82 is: 104,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,014.82 : 186,320.43 = 75,398.82 : x
  2. Step 2: Convert to fraction form
    135,014.82/186,320.43 = 75,398.82/x
  3. Step 3: Cross multiply
    135,014.82x = 186,320.43 × 75,398.82
  4. Step 4: Simplify right side
    135,014.82x = 14,048,340,563.89
  5. Step 5: Solve for x
    x = 14,048,340,563.89/135,014.82
  6. Step 6: Final answer
    x = 104,050.36

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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.